diff --git a/docs/src/api/class-browsercontext.md b/docs/src/api/class-browsercontext.md
index a5679cf5a96a3..37ebb8f05f0db 100644
--- a/docs/src/api/class-browsercontext.md
+++ b/docs/src/api/class-browsercontext.md
@@ -476,6 +476,9 @@ Path to the JavaScript file. If `path` is a relative path, then it is resolved r
 
 Script to be evaluated in all pages in the browser context. Optional.
 
+### option: BrowserContext.addInitScript.exposeFunctions = %%-js-init-script-expose-functions-%%
+* since: v1.62
+
 ## method: BrowserContext.backgroundPages
 * since: v1.11
 * deprecated: Background pages have been removed from Chromium together with Manifest V2 extensions.
diff --git a/docs/src/api/class-page.md b/docs/src/api/class-page.md
index 04d0932668163..6174ccc392d49 100644
--- a/docs/src/api/class-page.md
+++ b/docs/src/api/class-page.md
@@ -651,6 +651,9 @@ Path to the JavaScript file. If `path` is a relative path, then it is resolved r
 
 Script to be evaluated in all pages in the browser context. Optional.
 
+### option: Page.addInitScript.exposeFunctions = %%-js-init-script-expose-functions-%%
+* since: v1.62
+
 ## async method: Page.addScriptTag
 * since: v1.8
 - returns: <[ElementHandle]>
diff --git a/docs/src/api/params.md b/docs/src/api/params.md
index bdce5366586ce..47fe73082ada9 100644
--- a/docs/src/api/params.md
+++ b/docs/src/api/params.md
@@ -590,6 +590,12 @@ Function to be evaluated in the page context.
 
 When set to `true`, functions passed inside [`param: arg`] are exposed in the page and can be called from the page function. Calling one returns a [Promise] of its result. Under the hood, each function is exposed via [`method: Page.exposeFunction`], so it is technically accessible from all frames and worlds of the page. Exposed functions are cleared upon the top-level navigation. Defaults to `false`, in which case functions are not serializable and passing one throws an error.
 
+## js-init-script-expose-functions
+* langs: js
+- `exposeFunctions` <[boolean]>
+
+When set to `true`, functions passed inside [`param: arg`] are exposed in the page and can be called from the init script. Calling one returns a [Promise] of its result. Under the hood, each function is exposed via [`method: Page.exposeFunction`], so it is technically accessible from all frames and worlds of the page. Unlike functions passed to [`method: Page.evaluate`], functions passed to an init script are exposed in every new document, so they survive navigations. Defaults to `false`, in which case functions are not serializable and are silently dropped.
+
 ## js-evalonselector-pagefunction
 * langs: js
 - `pageFunction` <[function]\([Element]\)|[string]>
diff --git a/packages/injected/src/bindingsController.ts b/packages/injected/src/bindingsController.ts
index 5066e75ee4bcb..6e998e5c210c8 100644
--- a/packages/injected/src/bindingsController.ts
+++ b/packages/injected/src/bindingsController.ts
@@ -14,7 +14,7 @@
  * limitations under the License.
  */
 
-import { serializeAsCallArgument } from '@isomorphic/utilityScriptSerializers';
+import { parseEvaluationResultValue, serializeAsCallArgument } from '@isomorphic/utilityScriptSerializers';
 
 import type { SerializedValue } from '@isomorphic/utilityScriptSerializers';
 
@@ -68,6 +68,12 @@ export class BindingsController {
     return promise;
   }
 
+  parseInitScriptArg(value: SerializedValue): any {
+    // Functions serialized as { fn } deserialize into wrappers
+    // that route the call through this controller.
+    return parseEvaluationResultValue(value);
+  }
+
   removeBinding(bindingName: string) {
     const data = this._bindings.get(bindingName);
     if (data)
diff --git a/packages/isomorphic/utilityScriptSerializers.ts b/packages/isomorphic/utilityScriptSerializers.ts
index 012fa00e14e61..a6556e2dc4460 100644
--- a/packages/isomorphic/utilityScriptSerializers.ts
+++ b/packages/isomorphic/utilityScriptSerializers.ts
@@ -39,7 +39,7 @@ export type SerializedValue =
     { ta: { b: string, k: TypedArrayKind } } |
     { ab: { b: string } };
 
-type HandleOrValue = { h: number } | { fallThrough: any };
+type HandleOrValue = { h: number } | { fn: string } | { fallThrough: any };
 
 type VisitorInfo = {
   visited: Map<object, number>;
diff --git a/packages/playwright-client/types/types.d.ts b/packages/playwright-client/types/types.d.ts
index 0b3c58906b5b1..4576f7bdc8f7b 100644
--- a/packages/playwright-client/types/types.d.ts
+++ b/packages/playwright-client/types/types.d.ts
@@ -314,16 +314,17 @@ export interface Page {
    * ```
    *
    * **NOTE** The order of evaluation of multiple scripts installed via
-   * [browserContext.addInitScript(script[, arg])](https://playwright.dev/docs/api/class-browsercontext#browser-context-add-init-script)
-   * and [page.addInitScript(script[, arg])](https://playwright.dev/docs/api/class-page#page-add-init-script) is not
-   * defined.
+   * [browserContext.addInitScript(script[, arg, options])](https://playwright.dev/docs/api/class-browsercontext#browser-context-add-init-script)
+   * and [page.addInitScript(script[, arg, options])](https://playwright.dev/docs/api/class-page#page-add-init-script)
+   * is not defined.
    *
    * @param script Script to be evaluated in the page.
    * @param arg Optional argument to pass to
    * [`script`](https://playwright.dev/docs/api/class-page#page-add-init-script-option-script) (only supported when
    * passing a function).
+   * @param options
    */
-  addInitScript<Arg>(script: PageFunction<Arg, any> | { path?: string, content?: string }, arg?: Arg): Promise<Disposable>;
+  addInitScript<Arg>(script: PageFunction<Arg, any> | { path?: string, content?: string }, arg?: Arg, options?: { exposeFunctions?: boolean }): Promise<Disposable>;
 
   /**
    * **NOTE** Use locator-based [page.locator(selector[, options])](https://playwright.dev/docs/api/class-page#page-locator)
@@ -9076,16 +9077,17 @@ export interface BrowserContext {
    * ```
    *
    * **NOTE** The order of evaluation of multiple scripts installed via
-   * [browserContext.addInitScript(script[, arg])](https://playwright.dev/docs/api/class-browsercontext#browser-context-add-init-script)
-   * and [page.addInitScript(script[, arg])](https://playwright.dev/docs/api/class-page#page-add-init-script) is not
-   * defined.
+   * [browserContext.addInitScript(script[, arg, options])](https://playwright.dev/docs/api/class-browsercontext#browser-context-add-init-script)
+   * and [page.addInitScript(script[, arg, options])](https://playwright.dev/docs/api/class-page#page-add-init-script)
+   * is not defined.
    *
    * @param script Script to be evaluated in all pages in the browser context.
    * @param arg Optional argument to pass to
    * [`script`](https://playwright.dev/docs/api/class-browsercontext#browser-context-add-init-script-option-script)
    * (only supported when passing a function).
+   * @param options
    */
-  addInitScript<Arg>(script: PageFunction<Arg, any> | { path?: string, content?: string }, arg?: Arg): Promise<Disposable>;
+  addInitScript<Arg>(script: PageFunction<Arg, any> | { path?: string, content?: string }, arg?: Arg, options?: { exposeFunctions?: boolean }): Promise<Disposable>;
 
   /**
    * Removes all the listeners of the given type (or all registered listeners if no type given). Allows to wait for
@@ -20781,14 +20783,15 @@ export interface Dialog {
 /**
  * [Disposable](https://playwright.dev/docs/api/class-disposable) is returned from various methods to allow undoing
  * the corresponding action. For example,
- * [page.addInitScript(script[, arg])](https://playwright.dev/docs/api/class-page#page-add-init-script) returns a
- * [Disposable](https://playwright.dev/docs/api/class-disposable) that can be used to remove the init script.
+ * [page.addInitScript(script[, arg, options])](https://playwright.dev/docs/api/class-page#page-add-init-script)
+ * returns a [Disposable](https://playwright.dev/docs/api/class-disposable) that can be used to remove the init
+ * script.
  */
 export interface Disposable {
   /**
    * Removes the associated resource. For example, removes the init script installed via
-   * [page.addInitScript(script[, arg])](https://playwright.dev/docs/api/class-page#page-add-init-script) or
-   * [browserContext.addInitScript(script[, arg])](https://playwright.dev/docs/api/class-browsercontext#browser-context-add-init-script).
+   * [page.addInitScript(script[, arg, options])](https://playwright.dev/docs/api/class-page#page-add-init-script) or
+   * [browserContext.addInitScript(script[, arg, options])](https://playwright.dev/docs/api/class-browsercontext#browser-context-add-init-script).
    */
   dispose(): Promise<void>;
 
diff --git a/packages/playwright-core/src/client/browserContext.ts b/packages/playwright-core/src/client/browserContext.ts
index 82445b69f0941..7186b1fc584b9 100644
--- a/packages/playwright-core/src/client/browserContext.ts
+++ b/packages/playwright-core/src/client/browserContext.ts
@@ -37,8 +37,9 @@ import { Events } from './events';
 import { APIRequestContext } from './fetch';
 import { Frame } from './frame';
 import { HarRouter } from './harRouter';
+import { assertEvaluateOptions } from './jsHandle';
 import * as network from './network';
-import { BindingCall, Page } from './page';
+import { BindingCall, Page, addInitScriptWithExposedFunctions } from './page';
 import { Tracing } from './tracing';
 import { Waiter } from './waiter';
 import { WebError } from './webError';
@@ -46,6 +47,7 @@ import { Worker } from './worker';
 import { TimeoutSettings, kNoTimeout } from './timeoutSettings';
 import { mkdirIfNeeded } from './fileUtils';
 
+import type { EvaluateOptions } from './jsHandle';
 import type { BrowserContextOptions, Headers, SetStorageState, StorageState, WaitForEventOptions } from './types';
 import type * as structs from '../../types/structs';
 import type * as api from '../../types/types';
@@ -358,7 +360,10 @@ export class BrowserContext extends ChannelOwner<channels.BrowserContextChannel>
     await this._channel.setHTTPCredentials({ httpCredentials: httpCredentials || undefined }, kNoTimeout);
   }
 
-  async addInitScript(script: Function | string | { path?: string, content?: string }, arg?: any) {
+  async addInitScript(script: Function | string | { path?: string, content?: string }, arg?: any, options?: EvaluateOptions) {
+    assertEvaluateOptions(options);
+    if (options?.exposeFunctions)
+      return await addInitScriptWithExposedFunctions(this, script, arg);
     const source = await evaluationScript(script, arg);
     return DisposableObject.from((await this._channel.addInitScript({ source }, kNoTimeout)).disposable);
   }
@@ -369,6 +374,12 @@ export class BrowserContext extends ChannelOwner<channels.BrowserContextChannel>
     return DisposableObject.from(result.disposable);
   }
 
+  async _exposeCallbackBinding(name: string, callback: Function): Promise<DisposableObject> {
+    this._bindings.set(name, (source, ...args) => callback(...args));
+    const result = await this._channel.exposeBinding({ name, noGlobal: true }, kNoTimeout);
+    return DisposableObject.from(result.disposable);
+  }
+
   async exposeFunction(name: string, callback: Function): Promise<DisposableObject> {
     const result = await this._channel.exposeBinding({ name }, kNoTimeout);
     const binding = (source: structs.BindingSource, ...args: any[]) => callback(...args);
diff --git a/packages/playwright-core/src/client/channels.d.ts b/packages/playwright-core/src/client/channels.d.ts
index ee239a9c51efc..f6031c35553c5 100644
--- a/packages/playwright-core/src/client/channels.d.ts
+++ b/packages/playwright-core/src/client/channels.d.ts
@@ -1425,9 +1425,10 @@ export type BrowserContextCookiesResult = {
 };
 export type BrowserContextExposeBindingParams = {
   name: string,
+  noGlobal?: boolean,
 };
 export type BrowserContextExposeBindingOptions = {
-
+  noGlobal?: boolean,
 };
 export type BrowserContextExposeBindingResult = {
   disposable: DisposableChannel,
diff --git a/packages/playwright-core/src/client/clientHelper.ts b/packages/playwright-core/src/client/clientHelper.ts
index f8d055883f9a4..89037e34295f4 100644
--- a/packages/playwright-core/src/client/clientHelper.ts
+++ b/packages/playwright-core/src/client/clientHelper.ts
@@ -18,6 +18,8 @@
 import fs from 'fs';
 
 import { isString } from '@isomorphic/rtti';
+import { kBindingsControllerProperty, kFunctionBindingPrefix, serializeAsCallArgument } from '@isomorphic/utilityScriptSerializers';
+import { createGuid } from '@utils/crypto';
 
 export function envObjectToArray(env: NodeJS.ProcessEnv): { name: string, value: string }[] {
   const result: { name: string, value: string }[] = [];
@@ -49,6 +51,22 @@ export async function evaluationScript(fun: Function | string | { path?: string,
   throw new Error('Either path or content property must be present');
 }
 
+export async function initScriptSourceWithExposedFunctions(fun: Function, arg: any, expose: (name: string, callback: Function) => Promise<void>): Promise<string> {
+  const exposePromises: Promise<void>[] = [];
+  const serialized = serializeAsCallArgument(arg, value => {
+    if (typeof value === 'function') {
+      const name = kFunctionBindingPrefix + createGuid();
+      exposePromises.push(expose(name, value));
+      return { fn: name };
+    }
+    return { fallThrough: value };
+  });
+  await Promise.all(exposePromises);
+  // Bindings backing the functions are registered through their own init scripts
+  // that are guaranteed to run first, so the controller is available here.
+  return `(${fun.toString()})(globalThis['${kBindingsControllerProperty}'].parseInitScriptArg(${JSON.stringify(serialized)}))`;
+}
+
 export function addSourceUrlToScript(source: string, path: string): string {
   return `${source}\n//# sourceURL=${path.replace(/\n/g, '')}`;
 }
diff --git a/packages/playwright-core/src/client/page.ts b/packages/playwright-core/src/client/page.ts
index 90a199a17f76d..1227ce1c5307b 100644
--- a/packages/playwright-core/src/client/page.ts
+++ b/packages/playwright-core/src/client/page.ts
@@ -28,7 +28,7 @@ import { LongStandingScope } from '@isomorphic/manualPromise';
 import { isObject, isRegExp, isString } from '@isomorphic/rtti';
 import { Artifact } from './artifact';
 import { ChannelOwner } from './channelOwner';
-import { evaluationScript } from './clientHelper';
+import { evaluationScript, initScriptSourceWithExposedFunctions } from './clientHelper';
 import { Coverage } from './coverage';
 import { DisposableObject, DisposableStub } from './disposable';
 import { Download } from './download';
@@ -40,7 +40,7 @@ import { Frame, verifyLoadState } from './frame';
 import { HarRouter } from './harRouter';
 import { Keyboard, Mouse, Touchscreen } from './input';
 import { WebStorage } from './webStorage';
-import { assertMaxArguments, parseResult, serializeArgument } from './jsHandle';
+import { assertEvaluateOptions, assertMaxArguments, parseResult, serializeArgument } from './jsHandle';
 import { Request, Response, Route, RouteHandler, WebSocket,  WebSocketRoute, WebSocketRouteHandler, validateHeaders } from './network';
 import { Video } from './video';
 import { Screencast } from './screencast';
@@ -376,10 +376,15 @@ export class Page extends ChannelOwner<channels.PageChannel> implements api.Page
     return DisposableObject.from(result.disposable);
   }
 
-  async _exposeEvaluateCallback(name: string, callback: Function) {
+  async _exposeCallbackBinding(name: string, callback: Function): Promise<DisposableObject> {
     this._bindings.set(name, (source, ...args) => callback(...args));
     const result = await this._channel.exposeBinding({ name, noGlobal: true }, kNoTimeout);
-    this._evaluateCallbacks.push({ name, disposable: DisposableObject.from(result.disposable) });
+    return DisposableObject.from(result.disposable);
+  }
+
+  async _exposeEvaluateCallback(name: string, callback: Function) {
+    const disposable = await this._exposeCallbackBinding(name, callback);
+    this._evaluateCallbacks.push({ name, disposable });
   }
 
   _eraseEvaluateCallbacks() {
@@ -549,7 +554,10 @@ export class Page extends ChannelOwner<channels.PageChannel> implements api.Page
     return await this._mainFrame.evaluate(pageFunction, arg, options);
   }
 
-  async addInitScript(script: Function | string | { path?: string, content?: string }, arg?: any) {
+  async addInitScript(script: Function | string | { path?: string, content?: string }, arg?: any, options?: EvaluateOptions) {
+    assertEvaluateOptions(options);
+    if (options?.exposeFunctions)
+      return await addInitScriptWithExposedFunctions(this, script, arg);
     const source = await evaluationScript(script, arg);
     return DisposableObject.from((await this._channel.addInitScript({ source }, kNoTimeout)).disposable);
   }
@@ -947,3 +955,23 @@ function trimUrl(param: any): string | undefined {
   if (isString(param))
     return `"${trimStringWithEllipsis(param, 50)}"`;
 }
+
+export async function addInitScriptWithExposedFunctions(owner: Page | BrowserContext, script: Function | string | { path?: string, content?: string }, arg: any): Promise<DisposableStub> {
+  if (typeof script !== 'function')
+    throw new Error('Passing functions requires the init script to be a function');
+  const callbacks: { name: string, disposable: DisposableObject }[] = [];
+  const source = await owner._wrapApiCall(async () => {
+    return await initScriptSourceWithExposedFunctions(script, arg, async (name, callback) => {
+      const disposable = await owner._exposeCallbackBinding(name, callback);
+      callbacks.push({ name, disposable });
+    });
+  }, { internal: true });
+  const initScriptDisposable = DisposableObject.from((await owner._channel.addInitScript({ source }, kNoTimeout)).disposable);
+  return new DisposableStub(async () => {
+    for (const { name, disposable } of callbacks) {
+      owner._bindings.delete(name);
+      disposable.dispose().catch(() => {});
+    }
+    await initScriptDisposable.dispose();
+  });
+}
diff --git a/packages/playwright-core/src/server/browserContext.ts b/packages/playwright-core/src/server/browserContext.ts
index 5353a4fd0f7ac..3656eab0d8a6a 100644
--- a/packages/playwright-core/src/server/browserContext.ts
+++ b/packages/playwright-core/src/server/browserContext.ts
@@ -377,7 +377,7 @@ export abstract class BrowserContext<EM extends EventMap = EventMap> extends Sdk
     return this._playwrightBindingExposed !== undefined;
   }
 
-  async exposeBinding(progress: Progress, name: string, playwrightBinding: frames.FunctionWithSource, forClient?: unknown): Promise<PageBinding> {
+  async exposeBinding(progress: Progress, name: string, playwrightBinding: frames.FunctionWithSource, forClient?: unknown, noGlobal?: boolean): Promise<PageBinding> {
     if (this._pageBindings.has(name))
       throw new Error(`Function "${name}" has been already registered`);
     for (const page of this.pages()) {
@@ -385,7 +385,7 @@ export abstract class BrowserContext<EM extends EventMap = EventMap> extends Sdk
         throw new Error(`Function "${name}" has been already registered in one of the pages`);
     }
     await progress.race(this.exposePlaywrightBindingIfNeeded());
-    const binding = new PageBinding(this, name, playwrightBinding);
+    const binding = new PageBinding(this, name, playwrightBinding, noGlobal);
     binding.forClient = forClient;
     this._pageBindings.set(name, binding);
     try {
diff --git a/packages/playwright-core/src/server/channels.d.ts b/packages/playwright-core/src/server/channels.d.ts
index b66eb1753d7ef..ea7cb8ad86f37 100644
--- a/packages/playwright-core/src/server/channels.d.ts
+++ b/packages/playwright-core/src/server/channels.d.ts
@@ -1426,9 +1426,10 @@ export type BrowserContextCookiesResult = {
 };
 export type BrowserContextExposeBindingParams = {
   name: string,
+  noGlobal?: boolean,
 };
 export type BrowserContextExposeBindingOptions = {
-
+  noGlobal?: boolean,
 };
 export type BrowserContextExposeBindingResult = {
   disposable: DisposableChannel,
diff --git a/packages/playwright-core/src/server/dispatchers/browserContextDispatcher.ts b/packages/playwright-core/src/server/dispatchers/browserContextDispatcher.ts
index e8da143bfbf18..4d24b22c8329c 100644
--- a/packages/playwright-core/src/server/dispatchers/browserContextDispatcher.ts
+++ b/packages/playwright-core/src/server/dispatchers/browserContextDispatcher.ts
@@ -253,7 +253,7 @@ export class BrowserContextDispatcher extends Dispatcher<BrowserContext, channel
       const binding = new BindingCallDispatcher(pageDispatcher, params.name, source, args);
       this._dispatchEvent('bindingCall', { binding });
       return binding.promise();
-    });
+    }, undefined, params.noGlobal);
     this._disposables.push(binding);
     return { disposable: new DisposableDispatcher(this, binding) };
   }
diff --git a/packages/playwright-core/types/types.d.ts b/packages/playwright-core/types/types.d.ts
index 0b3c58906b5b1..4576f7bdc8f7b 100644
--- a/packages/playwright-core/types/types.d.ts
+++ b/packages/playwright-core/types/types.d.ts
@@ -314,16 +314,17 @@ export interface Page {
    * ```
    *
    * **NOTE** The order of evaluation of multiple scripts installed via
-   * [browserContext.addInitScript(script[, arg])](https://playwright.dev/docs/api/class-browsercontext#browser-context-add-init-script)
-   * and [page.addInitScript(script[, arg])](https://playwright.dev/docs/api/class-page#page-add-init-script) is not
-   * defined.
+   * [browserContext.addInitScript(script[, arg, options])](https://playwright.dev/docs/api/class-browsercontext#browser-context-add-init-script)
+   * and [page.addInitScript(script[, arg, options])](https://playwright.dev/docs/api/class-page#page-add-init-script)
+   * is not defined.
    *
    * @param script Script to be evaluated in the page.
    * @param arg Optional argument to pass to
    * [`script`](https://playwright.dev/docs/api/class-page#page-add-init-script-option-script) (only supported when
    * passing a function).
+   * @param options
    */
-  addInitScript<Arg>(script: PageFunction<Arg, any> | { path?: string, content?: string }, arg?: Arg): Promise<Disposable>;
+  addInitScript<Arg>(script: PageFunction<Arg, any> | { path?: string, content?: string }, arg?: Arg, options?: { exposeFunctions?: boolean }): Promise<Disposable>;
 
   /**
    * **NOTE** Use locator-based [page.locator(selector[, options])](https://playwright.dev/docs/api/class-page#page-locator)
@@ -9076,16 +9077,17 @@ export interface BrowserContext {
    * ```
    *
    * **NOTE** The order of evaluation of multiple scripts installed via
-   * [browserContext.addInitScript(script[, arg])](https://playwright.dev/docs/api/class-browsercontext#browser-context-add-init-script)
-   * and [page.addInitScript(script[, arg])](https://playwright.dev/docs/api/class-page#page-add-init-script) is not
-   * defined.
+   * [browserContext.addInitScript(script[, arg, options])](https://playwright.dev/docs/api/class-browsercontext#browser-context-add-init-script)
+   * and [page.addInitScript(script[, arg, options])](https://playwright.dev/docs/api/class-page#page-add-init-script)
+   * is not defined.
    *
    * @param script Script to be evaluated in all pages in the browser context.
    * @param arg Optional argument to pass to
    * [`script`](https://playwright.dev/docs/api/class-browsercontext#browser-context-add-init-script-option-script)
    * (only supported when passing a function).
+   * @param options
    */
-  addInitScript<Arg>(script: PageFunction<Arg, any> | { path?: string, content?: string }, arg?: Arg): Promise<Disposable>;
+  addInitScript<Arg>(script: PageFunction<Arg, any> | { path?: string, content?: string }, arg?: Arg, options?: { exposeFunctions?: boolean }): Promise<Disposable>;
 
   /**
    * Removes all the listeners of the given type (or all registered listeners if no type given). Allows to wait for
@@ -20781,14 +20783,15 @@ export interface Dialog {
 /**
  * [Disposable](https://playwright.dev/docs/api/class-disposable) is returned from various methods to allow undoing
  * the corresponding action. For example,
- * [page.addInitScript(script[, arg])](https://playwright.dev/docs/api/class-page#page-add-init-script) returns a
- * [Disposable](https://playwright.dev/docs/api/class-disposable) that can be used to remove the init script.
+ * [page.addInitScript(script[, arg, options])](https://playwright.dev/docs/api/class-page#page-add-init-script)
+ * returns a [Disposable](https://playwright.dev/docs/api/class-disposable) that can be used to remove the init
+ * script.
  */
 export interface Disposable {
   /**
    * Removes the associated resource. For example, removes the init script installed via
-   * [page.addInitScript(script[, arg])](https://playwright.dev/docs/api/class-page#page-add-init-script) or
-   * [browserContext.addInitScript(script[, arg])](https://playwright.dev/docs/api/class-browsercontext#browser-context-add-init-script).
+   * [page.addInitScript(script[, arg, options])](https://playwright.dev/docs/api/class-page#page-add-init-script) or
+   * [browserContext.addInitScript(script[, arg, options])](https://playwright.dev/docs/api/class-browsercontext#browser-context-add-init-script).
    */
   dispose(): Promise<void>;
 
diff --git a/packages/protocol/spec/browserContext.yml b/packages/protocol/spec/browserContext.yml
index 753e9d6a2c225..50c3b7a99ac76 100644
--- a/packages/protocol/spec/browserContext.yml
+++ b/packages/protocol/spec/browserContext.yml
@@ -84,6 +84,7 @@ BrowserContext:
       group: configuration
       parameters:
         name: string
+        noGlobal: boolean?
       returns:
         disposable: Disposable
 
diff --git a/packages/protocol/src/validator.ts b/packages/protocol/src/validator.ts
index 5c080081f7e09..6228d295499ef 100644
--- a/packages/protocol/src/validator.ts
+++ b/packages/protocol/src/validator.ts
@@ -773,6 +773,7 @@ scheme.BrowserContextCookiesResult = tObject({
 });
 scheme.BrowserContextExposeBindingParams = tObject({
   name: tString,
+  noGlobal: tOptional(tBoolean),
 });
 scheme.BrowserContextExposeBindingResult = tObject({
   disposable: tChannel(['Disposable']),
diff --git a/tests/library/browsercontext-add-init-script.spec.ts b/tests/library/browsercontext-add-init-script.spec.ts
index c2fd6cf83840f..7704c9de5b2ee 100644
--- a/tests/library/browsercontext-add-init-script.spec.ts
+++ b/tests/library/browsercontext-add-init-script.spec.ts
@@ -86,6 +86,54 @@ it('should remove context init script and keep working in new pages', async ({ c
   expect(await page.evaluate(() => (window as any)['temp'])).toBe(undefined);
 });
 
+it('should expose functions passed as arguments', async ({ context, server }) => {
+  const received: string[] = [];
+  await context.addInitScript(async ({ cb }) => {
+    await cb(location.href);
+  }, { cb: async (href: string) => { received.push(href); } }, { exposeFunctions: true });
+  const page = await context.newPage();
+  await page.goto(server.EMPTY_PAGE);
+  await expect.poll(() => received).toContain(server.EMPTY_PAGE);
+});
+
+it('should expose functions that survive navigation', async ({ context, server }) => {
+  const received: number[] = [];
+  await context.addInitScript(({ cb }) => {
+    (window as any).cb = cb;
+  }, { cb: (n: number) => { received.push(n); return n * 2; } }, { exposeFunctions: true });
+  const page = await context.newPage();
+  await page.goto(server.EMPTY_PAGE);
+  expect(await page.evaluate(() => (window as any).cb(1))).toBe(2);
+  await page.goto(server.CROSS_PROCESS_PREFIX + '/empty.html');
+  expect(await page.evaluate(() => (window as any).cb(2))).toBe(4);
+  expect(received).toEqual([1, 2]);
+});
+
+it('should expose functions in popups', async ({ context, server }) => {
+  await context.addInitScript(({ mul }) => {
+    (window as any).mul = mul;
+  }, { mul: (a: number, b: number) => a * b }, { exposeFunctions: true });
+  const page = await context.newPage();
+  await page.goto(server.EMPTY_PAGE);
+  const [popup] = await Promise.all([
+    page.waitForEvent('popup'),
+    page.evaluate(() => window.open('about:blank')),
+  ]);
+  expect(await popup.evaluate(() => (window as any).mul(6, 7))).toBe(42);
+});
+
+it('should remove exposed functions after dispose', async ({ context, server }) => {
+  const disposable = await context.addInitScript(({ cb }) => {
+    (window as any).cb = cb;
+  }, { cb: (n: number) => n * 2 }, { exposeFunctions: true });
+  const page = await context.newPage();
+  await page.goto(server.EMPTY_PAGE);
+  expect(await page.evaluate(() => (window as any).cb(21))).toBe(42);
+  await disposable.dispose();
+  await page.goto(server.EMPTY_PAGE);
+  expect(await page.evaluate(() => typeof (window as any).cb)).toBe('undefined');
+});
+
 it('init script should run only once in popup', async ({ context }) => {
   await context.addInitScript(() => {
     window['callCount'] = (window['callCount'] || 0) + 1;
diff --git a/tests/page/page-add-init-script-callback.spec.ts b/tests/page/page-add-init-script-callback.spec.ts
new file mode 100644
index 0000000000000..a44e9f84f95cc
--- /dev/null
+++ b/tests/page/page-add-init-script-callback.spec.ts
@@ -0,0 +1,133 @@
+/**
+ * Copyright (c) Microsoft Corporation.
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ *     http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+import { test as it, expect } from './pageTest';
+
+it('should drop functions without the exposeFunctions option', async ({ page, server }) => {
+  await page.addInitScript(({ cb }) => {
+    (window as any).cbType = typeof cb;
+  }, { cb: () => {} });
+  await page.goto(server.EMPTY_PAGE);
+  expect(await page.evaluate(() => (window as any).cbType)).toBe('undefined');
+});
+
+it('should throw when the script is not a function', async ({ page }) => {
+  await expect(page.addInitScript({ content: 'window.foo = 1;' }, undefined, { exposeFunctions: true }))
+      .rejects.toThrow('Passing functions requires the init script to be a function');
+});
+
+it('should call a function passed as an argument', async ({ page, server }) => {
+  const received: number[] = [];
+  await page.addInitScript(async ({ cb }) => {
+    await cb(1);
+    await cb(2);
+  }, { cb: async (n: number) => { received.push(n); } }, { exposeFunctions: true });
+  await page.goto(server.EMPTY_PAGE);
+  await expect.poll(() => received).toEqual([1, 2]);
+});
+
+it('should accept a function as the whole argument', async ({ page, server }) => {
+  await page.addInitScript(async cb => {
+    (window as any).result = await cb('a');
+  }, async (s: string) => s + 'b', { exposeFunctions: true });
+  await page.goto(server.EMPTY_PAGE);
+  await expect.poll(() => page.evaluate(() => (window as any).result)).toBe('ab');
+});
+
+it('should pass arguments to the callback', async ({ page, server }) => {
+  const argsPromise = new Promise<any[]>(resolve => {
+    void page.addInitScript(({ cb }) => cb(1, 'two', { three: 3 }, [4]), {
+      cb: (...a: any[]) => resolve(a),
+    }, { exposeFunctions: true }).then(() => page.goto(server.EMPTY_PAGE));
+  });
+  expect(await argsPromise).toEqual([1, 'two', { three: 3 }, [4]]);
+});
+
+it('should return the callback result to the page', async ({ page, server }) => {
+  await page.addInitScript(async ({ double }) => {
+    (window as any).result = await double(21);
+  }, { double: async (n: number) => n * 2 }, { exposeFunctions: true });
+  await page.goto(server.EMPTY_PAGE);
+  await expect.poll(() => page.evaluate(() => (window as any).result)).toBe(42);
+});
+
+it('should propagate callback errors to the page', async ({ page, server }) => {
+  await page.addInitScript(async ({ cb }) => {
+    try {
+      await cb();
+      (window as any).result = 'no error';
+    } catch (e) {
+      (window as any).result = (e as Error).message;
+    }
+  }, { cb: async () => { throw new Error('boom'); } }, { exposeFunctions: true });
+  await page.goto(server.EMPTY_PAGE);
+  await expect.poll(() => page.evaluate(() => (window as any).result)).toContain('boom');
+});
+
+it('should support multiple callbacks', async ({ page, server }) => {
+  await page.addInitScript(async ({ add, mul }) => {
+    (window as any).result = (await add(2, 3)) + (await mul(2, 3));
+  }, {
+    add: async (a: number, b: number) => a + b,
+    mul: async (a: number, b: number) => a * b,
+  }, { exposeFunctions: true });
+  await page.goto(server.EMPTY_PAGE);
+  await expect.poll(() => page.evaluate(() => (window as any).result)).toBe(11);
+});
+
+it('should survive a navigation and keep working', async ({ page, server }) => {
+  const received: number[] = [];
+  await page.addInitScript(({ cb }) => {
+    (window as any).cb = cb;
+  }, { cb: (n: number) => { received.push(n); return n * 2; } }, { exposeFunctions: true });
+  await page.goto(server.EMPTY_PAGE);
+  expect(await page.evaluate(() => (window as any).cb(1))).toBe(2);
+  await page.goto(server.CROSS_PROCESS_PREFIX + '/empty.html');
+  expect(await page.evaluate(() => (window as any).cb(2))).toBe(4);
+  expect(received).toEqual([1, 2]);
+});
+
+it('should work in a child frame', async ({ page, server }) => {
+  const received: number[] = [];
+  await page.addInitScript(async ({ cb }) => {
+    await cb(42);
+  }, { cb: async (n: number) => { received.push(n); } }, { exposeFunctions: true });
+  await page.goto(server.PREFIX + '/frames/one-frame.html');
+  // Once for the main frame document, once for the child frame document.
+  await expect.poll(() => received).toEqual([42, 42]);
+});
+
+it('should not register the callback on the global object', async ({ page, server }) => {
+  await page.addInitScript(async ({ cb }) => {
+    await cb();
+    (window as any).result = Object.getOwnPropertyNames(globalThis).filter(name => name.startsWith('__pw_fn_'));
+  }, { cb: async () => {} }, { exposeFunctions: true });
+  await page.goto(server.EMPTY_PAGE);
+  await expect.poll(() => page.evaluate(() => (window as any).result)).toEqual([]);
+});
+
+it('should remove exposed functions after dispose', async ({ page, server }) => {
+  const received: number[] = [];
+  const disposable = await page.addInitScript(({ cb }) => {
+    (window as any).cb = cb;
+  }, { cb: (n: number) => { received.push(n); } }, { exposeFunctions: true });
+  await page.goto(server.EMPTY_PAGE);
+  await page.evaluate(() => (window as any).cb(1));
+  await disposable.dispose();
+  await page.goto(server.EMPTY_PAGE);
+  expect(await page.evaluate(() => typeof (window as any).cb)).toBe('undefined');
+  expect(received).toEqual([1]);
+});
diff --git a/utils/generate_types/overrides.d.ts b/utils/generate_types/overrides.d.ts
index 81ac22c943262..a018af158bbb5 100644
--- a/utils/generate_types/overrides.d.ts
+++ b/utils/generate_types/overrides.d.ts
@@ -44,7 +44,7 @@ export interface Page {
   evaluateHandle<R, Arg>(pageFunction: PageFunction<Arg, R>, arg: Arg, options?: { exposeFunctions?: boolean }): Promise<SmartHandle<R>>;
   evaluateHandle<R>(pageFunction: PageFunction<void, R>, arg?: any, options?: { exposeFunctions?: boolean }): Promise<SmartHandle<R>>;
 
-  addInitScript<Arg>(script: PageFunction<Arg, any> | { path?: string, content?: string }, arg?: Arg): Promise<Disposable>;
+  addInitScript<Arg>(script: PageFunction<Arg, any> | { path?: string, content?: string }, arg?: Arg, options?: { exposeFunctions?: boolean }): Promise<Disposable>;
 
   $<K extends keyof HTMLElementTagNameMap>(selector: K, options?: { strict: boolean }): Promise<ElementHandleForTag<K> | null>;
   $(selector: string, options?: { strict: boolean }): Promise<ElementHandle<SVGElement | HTMLElement> | null>;
@@ -119,7 +119,7 @@ export interface Frame {
 export interface BrowserContext {
   exposeBinding(name: string, playwrightBinding: (source: BindingSource, ...args: any[]) => any): Promise<Disposable>;
 
-  addInitScript<Arg>(script: PageFunction<Arg, any> | { path?: string, content?: string }, arg?: Arg): Promise<Disposable>;
+  addInitScript<Arg>(script: PageFunction<Arg, any> | { path?: string, content?: string }, arg?: Arg, options?: { exposeFunctions?: boolean }): Promise<Disposable>;
 
   removeAllListeners(type?: string): this;
   removeAllListeners(type: string | undefined, options: {