diff --git a/packages/puppeteer-core/src/bidi/ExposedFunction.ts b/packages/puppeteer-core/src/bidi/ExposedFunction.ts
index d385ffedbb0..62c6b5e37ef 100644
--- a/packages/puppeteer-core/src/bidi/ExposedFunction.ts
+++ b/packages/puppeteer-core/src/bidi/ExposedFunction.ts
@@ -66,7 +66,6 @@ export class ExposeableFunction<Args extends unknown[], Ret> {
   async expose(): Promise<void> {
     const connection = this.#connection;
     const channelArguments = this.#channelArguments;
-    const {name} = this;
 
     // TODO(jrandolf): Implement cleanup with removePreloadScript.
     connection.on(
@@ -103,7 +102,7 @@ export class ExposeableFunction<Args extends unknown[], Ret> {
             },
           });
         },
-        {name: JSON.stringify(name)}
+        {name: JSON.stringify(this.name)}
       )
     );
 
@@ -148,7 +147,9 @@ export class ExposeableFunction<Args extends unknown[], Ret> {
           BidiSerializer.serializeRemoteValue(result),
         ],
         awaitPromise: false,
-        target: params.source,
+        target: {
+          realm: params.source.realm,
+        },
       });
     } catch (error) {
       try {
@@ -156,7 +157,7 @@ export class ExposeableFunction<Args extends unknown[], Ret> {
           await connection.send('script.callFunction', {
             functionDeclaration: stringifyFunction(
               (
-                [_, reject]: any,
+                [_, reject]: [unknown, (error: Error) => void],
                 name: string,
                 message: string,
                 stack?: string
@@ -176,12 +177,17 @@ export class ExposeableFunction<Args extends unknown[], Ret> {
               BidiSerializer.serializeRemoteValue(error.stack),
             ],
             awaitPromise: false,
-            target: params.source,
+            target: {
+              realm: params.source.realm,
+            },
           });
         } else {
           await connection.send('script.callFunction', {
             functionDeclaration: stringifyFunction(
-              ([_, reject]: any, error: unknown) => {
+              (
+                [_, reject]: [unknown, (error: unknown) => void],
+                error: unknown
+              ) => {
                 reject(error);
               }
             ),
@@ -190,7 +196,9 @@ export class ExposeableFunction<Args extends unknown[], Ret> {
               BidiSerializer.serializeRemoteValue(error),
             ],
             awaitPromise: false,
-            target: params.source,
+            target: {
+              realm: params.source.realm,
+            },
           });
         }
       } catch (error) {
diff --git a/test/TestExpectations.json b/test/TestExpectations.json
index f4296efbbe8..7cb77a637e4 100644
--- a/test/TestExpectations.json
+++ b/test/TestExpectations.json
@@ -927,7 +927,7 @@
   {
     "testIdPattern": "[page.spec] Page Page.exposeFunction *",
     "platforms": ["darwin", "linux", "win32"],
-    "parameters": ["firefox", "webDriverBiDi"],
+    "parameters": ["cdp", "firefox"],
     "expectations": ["SKIP"]
   },
   {
@@ -1279,6 +1279,12 @@
     "parameters": ["chrome", "webDriverBiDi"],
     "expectations": ["PASS"]
   },
+  {
+    "testIdPattern": "[browser.spec] Browser specs Browser.isConnected should set the browser connected state",
+    "platforms": ["darwin", "linux", "win32"],
+    "parameters": ["chrome", "webDriverBiDi"],
+    "expectations": ["PASS"]
+  },
   {
     "testIdPattern": "[browser.spec] Browser specs Browser.process should not return child_process for remote browser",
     "platforms": ["darwin", "linux", "win32"],
@@ -1813,12 +1819,6 @@
     "parameters": ["cdp", "firefox"],
     "expectations": ["SKIP"]
   },
-  {
-    "testIdPattern": "[evaluation.spec] Evaluation specs Page.evaluate should work from-inside an exposed function",
-    "platforms": ["darwin", "linux", "win32"],
-    "parameters": ["firefox", "webDriverBiDi"],
-    "expectations": ["FAIL", "TIMEOUT"]
-  },
   {
     "testIdPattern": "[extensions.spec] extensions background_page target type should be available",
     "platforms": ["darwin", "linux", "win32"],
@@ -1963,6 +1963,12 @@
     "parameters": ["chrome", "webDriverBiDi"],
     "expectations": ["PASS"]
   },
+  {
+    "testIdPattern": "[ignorehttpserrors.spec] ignoreHTTPSErrors should work",
+    "platforms": ["darwin", "linux", "win32"],
+    "parameters": ["chrome", "webDriverBiDi"],
+    "expectations": ["PASS"]
+  },
   {
     "testIdPattern": "[ignorehttpserrors.spec] ignoreHTTPSErrors should work with mixed content",
     "platforms": ["darwin", "linux", "win32"],
@@ -1975,6 +1981,12 @@
     "parameters": ["chrome", "webDriverBiDi"],
     "expectations": ["PASS"]
   },
+  {
+    "testIdPattern": "[ignorehttpserrors.spec] ignoreHTTPSErrors should work with mixed content",
+    "platforms": ["darwin", "linux", "win32"],
+    "parameters": ["chrome", "webDriverBiDi"],
+    "expectations": ["PASS"]
+  },
   {
     "testIdPattern": "[ignorehttpserrors.spec] ignoreHTTPSErrors should work with request interception",
     "platforms": ["darwin", "linux", "win32"],
@@ -2059,6 +2071,12 @@
     "parameters": ["chrome", "webDriverBiDi"],
     "expectations": ["PASS"]
   },
+  {
+    "testIdPattern": "[launcher.spec] Launcher specs Puppeteer Browser.close should terminate network waiters",
+    "platforms": ["darwin", "linux", "win32"],
+    "parameters": ["chrome", "webDriverBiDi"],
+    "expectations": ["PASS"]
+  },
   {
     "testIdPattern": "[launcher.spec] Launcher specs Puppeteer Browser.disconnect should reject navigation when browser closes",
     "platforms": ["darwin", "linux", "win32"],
@@ -2774,6 +2792,12 @@
     "parameters": ["chrome", "webDriverBiDi"],
     "expectations": ["PASS"]
   },
+  {
+    "testIdPattern": "[oopif.spec] OOPIF should support lazy OOP frames",
+    "platforms": ["darwin", "linux", "win32"],
+    "parameters": ["chrome", "webDriverBiDi"],
+    "expectations": ["PASS"]
+  },
   {
     "testIdPattern": "[oopif.spec] OOPIF should support wait for navigation for transitions from local to OOPIF",
     "platforms": ["darwin", "linux", "win32"],
@@ -2972,89 +2996,11 @@
     "parameters": ["cdp", "firefox"],
     "expectations": ["SKIP"]
   },
-  {
-    "testIdPattern": "[page.spec] Page Page.exposeFunction should await returned promise",
-    "platforms": ["darwin", "linux", "win32"],
-    "parameters": ["cdp", "firefox"],
-    "expectations": ["SKIP"]
-  },
   {
     "testIdPattern": "[page.spec] Page Page.exposeFunction should be callable from-inside evaluateOnNewDocument",
     "platforms": ["darwin", "linux", "win32"],
     "parameters": ["chrome", "webDriverBiDi"],
-    "expectations": ["FAIL", "TIMEOUT"]
-  },
-  {
-    "testIdPattern": "[page.spec] Page Page.exposeFunction should be callable from-inside evaluateOnNewDocument",
-    "platforms": ["darwin", "linux", "win32"],
-    "parameters": ["cdp", "firefox"],
-    "expectations": ["SKIP"]
-  },
-  {
-    "testIdPattern": "[page.spec] Page Page.exposeFunction should be callable from-inside evaluateOnNewDocument",
-    "platforms": ["darwin", "linux", "win32"],
-    "parameters": ["firefox", "webDriverBiDi"],
-    "expectations": ["PASS"]
-  },
-  {
-    "testIdPattern": "[page.spec] Page Page.exposeFunction should fallback to default export when passed a module object",
-    "platforms": ["darwin", "linux", "win32"],
-    "parameters": ["cdp", "firefox"],
-    "expectations": ["SKIP"]
-  },
-  {
-    "testIdPattern": "[page.spec] Page Page.exposeFunction should not throw when frames detach",
-    "platforms": ["darwin", "linux", "win32"],
-    "parameters": ["cdp", "firefox"],
-    "expectations": ["SKIP"]
-  },
-  {
-    "testIdPattern": "[page.spec] Page Page.exposeFunction should support throwing \"null\"",
-    "platforms": ["darwin", "linux", "win32"],
-    "parameters": ["cdp", "firefox"],
-    "expectations": ["SKIP"]
-  },
-  {
-    "testIdPattern": "[page.spec] Page Page.exposeFunction should survive navigation",
-    "platforms": ["darwin", "linux", "win32"],
-    "parameters": ["cdp", "firefox"],
-    "expectations": ["SKIP"]
-  },
-  {
-    "testIdPattern": "[page.spec] Page Page.exposeFunction should throw exception in page context",
-    "platforms": ["darwin", "linux", "win32"],
-    "parameters": ["cdp", "firefox"],
-    "expectations": ["SKIP"]
-  },
-  {
-    "testIdPattern": "[page.spec] Page Page.exposeFunction should work",
-    "platforms": ["darwin", "linux", "win32"],
-    "parameters": ["cdp", "firefox"],
-    "expectations": ["SKIP"]
-  },
-  {
-    "testIdPattern": "[page.spec] Page Page.exposeFunction should work on frames",
-    "platforms": ["darwin", "linux", "win32"],
-    "parameters": ["cdp", "firefox"],
-    "expectations": ["SKIP"]
-  },
-  {
-    "testIdPattern": "[page.spec] Page Page.exposeFunction should work on frames before navigation",
-    "platforms": ["darwin", "linux", "win32"],
-    "parameters": ["cdp", "firefox"],
-    "expectations": ["SKIP"]
-  },
-  {
-    "testIdPattern": "[page.spec] Page Page.exposeFunction should work with complex objects",
-    "platforms": ["darwin", "linux", "win32"],
-    "parameters": ["cdp", "firefox"],
-    "expectations": ["SKIP"]
-  },
-  {
-    "testIdPattern": "[page.spec] Page Page.exposeFunction should work with loading frames",
-    "platforms": ["darwin", "linux", "win32"],
-    "parameters": ["cdp", "firefox"],
-    "expectations": ["SKIP"]
+    "expectations": ["FAIL"]
   },
   {
     "testIdPattern": "[page.spec] Page Page.metrics metrics event fired on console.timeStamp",
@@ -3656,6 +3602,12 @@
     "parameters": ["chrome", "webDriverBiDi"],
     "expectations": ["PASS"]
   },
+  {
+    "testIdPattern": "[worker.spec] Workers should report console logs",
+    "platforms": ["darwin", "linux", "win32"],
+    "parameters": ["chrome", "webDriverBiDi"],
+    "expectations": ["PASS"]
+  },
   {
     "testIdPattern": "[worker.spec] Workers should report errors",
     "platforms": ["darwin", "linux", "win32"],
@@ -3668,6 +3620,12 @@
     "parameters": ["chrome", "webDriverBiDi"],
     "expectations": ["PASS"]
   },
+  {
+    "testIdPattern": "[worker.spec] Workers should report errors",
+    "platforms": ["darwin", "linux", "win32"],
+    "parameters": ["chrome", "webDriverBiDi"],
+    "expectations": ["PASS"]
+  },
   {
     "testIdPattern": "[CDPSession.spec] Target.createCDPSession should send events",
     "platforms": ["win32"],
diff --git a/test/src/page.spec.ts b/test/src/page.spec.ts
index cdee6ace650..3fda53c7763 100644
--- a/test/src/page.spec.ts
+++ b/test/src/page.spec.ts
@@ -1154,6 +1154,19 @@ describe('Page', function () {
       });
       expect(result).toBe(15);
     });
+    it('should await returned if called from function', async () => {
+      const {page} = await getTestState();
+
+      await page.exposeFunction('compute', function (a: number, b: number) {
+        return Promise.resolve(a * b);
+      });
+
+      const result = await page.evaluate(async function () {
+        const result = await (globalThis as any).compute(3, 5);
+        return result;
+      });
+      expect(result).toBe(15);
+    });
     it('should work on frames', async () => {
       const {page, server} = await getTestState();