diff --git a/blocksuite/affine/blocks/block-embed/src/embed-iframe-block/components/embed-iframe-idle-card.ts b/blocksuite/affine/blocks/block-embed/src/embed-iframe-block/components/embed-iframe-idle-card.ts
index b8df341c44..e80b1f534a 100644
--- a/blocksuite/affine/blocks/block-embed/src/embed-iframe-block/components/embed-iframe-idle-card.ts
+++ b/blocksuite/affine/blocks/block-embed/src/embed-iframe-block/components/embed-iframe-idle-card.ts
@@ -19,7 +19,6 @@ export class EmbedIframeIdleCard extends WithDisposable(LitElement) {
       padding: 12px;
       gap: 8px;
       border-radius: 8px;
-      border: 1px solid var(--affine-border-color);
       background-color: ${unsafeCSSVarV2('layer/background/secondary')};
 
       .icon {
diff --git a/blocksuite/affine/blocks/block-embed/src/embed-iframe-block/embed-iframe-block.ts b/blocksuite/affine/blocks/block-embed/src/embed-iframe-block/embed-iframe-block.ts
index 680c6d7bcf..51b0de70d2 100644
--- a/blocksuite/affine/blocks/block-embed/src/embed-iframe-block/embed-iframe-block.ts
+++ b/blocksuite/affine/blocks/block-embed/src/embed-iframe-block/embed-iframe-block.ts
@@ -17,7 +17,12 @@ import { matchModels } from '@blocksuite/affine-shared/utils';
 import { BlockSelection } from '@blocksuite/block-std';
 import { BlockSuiteError, ErrorCode } from '@blocksuite/global/exceptions';
 import { flip, offset, shift } from '@floating-ui/dom';
-import { computed, type ReadonlySignal, signal } from '@preact/signals-core';
+import {
+  computed,
+  effect,
+  type ReadonlySignal,
+  signal,
+} from '@preact/signals-core';
 import { html, nothing } from 'lit';
 import { query } from 'lit/decorators.js';
 import { type ClassInfo, classMap } from 'lit/directives/class-map.js';
@@ -244,7 +249,7 @@ export class EmbedIframeBlockComponent extends CaptionedBlockComponent<EmbedIfra
   };
 
   private readonly _selectBlock = () => {
-    const selectionManager = this.host.selection;
+    const { selectionManager } = this;
     const blockSelection = selectionManager.create(BlockSelection, {
       blockId: this.blockId,
     });
@@ -256,11 +261,17 @@ export class EmbedIframeBlockComponent extends CaptionedBlockComponent<EmbedIfra
     if (this.inSurface) {
       return;
     }
+
+    // when the block is in idle status and the url is not set, clear the selection
+    // and show the link input popup
     if (this.isIdle$.value && !this.model.props.url) {
+      this.selectionManager.clear(['block']);
       this.toggleLinkInputPopup();
-    } else {
-      this._selectBlock();
+      return;
     }
+
+    // otherwise, select the block
+    this._selectBlock();
   };
 
   private readonly _handleRetry = async () => {
@@ -328,6 +339,23 @@ export class EmbedIframeBlockComponent extends CaptionedBlockComponent<EmbedIfra
 
     this.contentEditable = 'false';
 
+    // update the selected style when the block is in the note
+    this.disposables.add(
+      effect(() => {
+        if (this.inSurface) {
+          return;
+        }
+
+        // when the block is in idle status, use the background style
+        // otherwise, use the border style
+        if (this.status$.value === 'idle') {
+          this.selectedStyle = SelectedStyle.Background;
+        } else {
+          this.selectedStyle = SelectedStyle.Border;
+        }
+      })
+    );
+
     if (!this.model.props.iframeUrl) {
       this.doc.withoutTransact(() => {
         this.refreshData().catch(console.error);
@@ -415,6 +443,10 @@ export class EmbedIframeBlockComponent extends CaptionedBlockComponent<EmbedIfra
     return this.doc.readonly;
   }
 
+  get selectionManager() {
+    return this.host.selection;
+  }
+
   override accessor useCaptionEditor = true;
 
   override accessor useZeroWidth = true;