diff --git a/src/constants/internal.ts b/src/constants/internal.ts
index 89328370..3052807a 100644
--- a/src/constants/internal.ts
+++ b/src/constants/internal.ts
@@ -68,7 +68,11 @@ export {
   TMP_DIRECTORY_PATH,
 } from './paths';
 /** @internal */
-export {TARGET_CLOSED_ERROR_MESSAGE, TEST_ENDED_ERROR_MESSAGE} from './playwright';
+export {
+  OBJECT_NOT_BOUND_ERROR_REGEXP,
+  TARGET_CLOSED_ERROR_MESSAGE,
+  TEST_ENDED_ERROR_MESSAGE,
+} from './playwright';
 /** @internal */
 export {RESOLVED_PROMISE} from './promise';
 /** @internal */
diff --git a/src/constants/playwright.ts b/src/constants/playwright.ts
index a27f728d..4c6f41ec 100644
--- a/src/constants/playwright.ts
+++ b/src/constants/playwright.ts
@@ -1,3 +1,11 @@
+/**
+ * Playwright error message for some connection error.
+ * The test fails after such an error, so it cannot be completely ignored (we write it in the warning).
+ * @internal
+ */
+export const OBJECT_NOT_BOUND_ERROR_REGEXP =
+  /Object with guid response@[a-zA-Z0-9]+ was not bound in the connection/;
+
 /**
  * Playwright error message for already closed target (`TargetClosedError`).
  * @internal
diff --git a/src/utils/end/endE2ed.ts b/src/utils/end/endE2ed.ts
index c4c0ad84..433802e6 100644
--- a/src/utils/end/endE2ed.ts
+++ b/src/utils/end/endE2ed.ts
@@ -35,7 +35,7 @@ export const endE2ed = (definedEndE2edReason: EndE2edReason): void => {
   setEndE2edReason(definedEndE2edReason);
 
   if (testsSubprocess?.killed === false) {
-    console.log('Kill tests subprocess');
+    console.log(`Kill tests subprocess (reason: ${definedEndE2edReason})`);
 
     testsSubprocess.kill();
   }
diff --git a/src/utils/getGlobalErrorHandler.ts b/src/utils/getGlobalErrorHandler.ts
index 879f892d..43c9987e 100644
--- a/src/utils/getGlobalErrorHandler.ts
+++ b/src/utils/getGlobalErrorHandler.ts
@@ -1,4 +1,8 @@
-import {TARGET_CLOSED_ERROR_MESSAGE, TEST_ENDED_ERROR_MESSAGE} from '../constants/internal';
+import {
+  OBJECT_NOT_BOUND_ERROR_REGEXP,
+  TARGET_CLOSED_ERROR_MESSAGE,
+  TEST_ENDED_ERROR_MESSAGE,
+} from '../constants/internal';
 
 import {E2edError} from './error';
 import {writeGlobalError, writeGlobalWarning} from './fs';
@@ -24,7 +28,7 @@ export const getGlobalErrorHandler =
         return;
       }
 
-      if (type === 'TestUnhandledRejection') {
+      if (type === 'TestUnhandledRejection' || OBJECT_NOT_BOUND_ERROR_REGEXP.test(errorString)) {
         void writeGlobalWarning(errorString).catch(() => {});
       } else {
         void writeGlobalError(errorString).catch(() => {});