diff --git a/packages/block-editor/src/components/block-navigation/block.js b/packages/block-editor/src/components/block-navigation/block.js
index 2f532f0e1b5a8..a2b3cbe5e46da 100644
--- a/packages/block-editor/src/components/block-navigation/block.js
+++ b/packages/block-editor/src/components/block-navigation/block.js
@@ -125,6 +125,7 @@ export default function BlockNavigationBlock( {
 							<BlockSettingsDropdown
 								clientIds={ [ clientId ] }
 								icon={ moreVertical }
+								contexts={ [ 'default', 'navigator' ] }
 								{ ...props }
 							/>
 						) }
diff --git a/packages/block-editor/src/components/block-settings-menu-controls/index.js b/packages/block-editor/src/components/block-settings-menu-controls/index.js
index fe64c785c0886..d7efce64018c7 100644
--- a/packages/block-editor/src/components/block-settings-menu-controls/index.js
+++ b/packages/block-editor/src/components/block-settings-menu-controls/index.js
@@ -7,13 +7,23 @@ import { isEmpty, map } from 'lodash';
  * WordPress dependencies
  */
 import { createSlotFill, MenuGroup } from '@wordpress/components';
+import { useContext } from '@wordpress/element';
 import { useSelect } from '@wordpress/data';
 
-const { Fill: BlockSettingsMenuControls, Slot } = createSlotFill(
-	'BlockSettingsMenuControls'
-);
+/**
+ * Internal dependencies
+ */
+import { BlockListBlockContext } from '../block-list/block';
+
+const { Fill, Slot } = createSlotFill( 'BlockSettingsMenuControls' );
 
-const BlockSettingsMenuControlsSlot = ( { fillProps, clientIds = null } ) => {
+const getSlotName = ( context, clientId = null ) =>
+	`BlockSettings-${ context }-${ clientId ? clientId : '' }`;
+const BlockSettingsMenuControlsSlots = ( {
+	fillProps,
+	context = 'default',
+	clientIds = null,
+} ) => {
 	const { selectedBlocks } = useSelect( ( select ) => {
 		const { getBlocksByClientId, getSelectedBlockClientIds } = select(
 			'core/block-editor'
@@ -28,16 +38,44 @@ const BlockSettingsMenuControlsSlot = ( { fillProps, clientIds = null } ) => {
 		};
 	}, [] );
 
+	const slotProps = { ...fillProps, selectedBlocks };
 	return (
-		<Slot fillProps={ { ...fillProps, selectedBlocks } }>
-			{ ( fills ) =>
-				! isEmpty( fills ) && <MenuGroup>{ fills }</MenuGroup>
-			}
-		</Slot>
+		<>
+			<BlockSettingsMenuControlsSlot
+				{ ...slotProps }
+				name={ getSlotName( context ) }
+			/>
+			{ clientIds.length === 1 && (
+				<BlockSettingsMenuControlsSlot
+					{ ...slotProps }
+					name={ getSlotName( context, clientIds[ 0 ] ) }
+				/>
+			) }
+		</>
 	);
 };
 
-BlockSettingsMenuControls.Slot = BlockSettingsMenuControlsSlot;
+const BlockSettingsMenuControlsSlot = ( props ) => (
+	<Slot { ...props }>
+		{ ( fills ) => ! isEmpty( fills ) && <MenuGroup>{ fills }</MenuGroup> }
+	</Slot>
+);
+
+export const BlockSettingsMenuControls = ( {
+	forAllBlocks = false,
+	context = 'default',
+	...fillProps
+} ) => {
+	const blockContext = useContext( BlockListBlockContext );
+	let clientId;
+	if ( ! forAllBlocks ) {
+		// Let's use non-existent ID in case the block context is missing
+		clientId = blockContext?.clientId || 'non-such-id';
+	}
+	return <Fill { ...fillProps } name={ getSlotName( context, clientId ) } />;
+};
+
+BlockSettingsMenuControls.Slot = BlockSettingsMenuControlsSlots;
 
 /**
  * @see https://github.com/WordPress/gutenberg/blob/master/packages/block-editor/src/components/block-settings-menu-controls/README.md
diff --git a/packages/block-editor/src/components/block-settings-menu/block-settings-dropdown.js b/packages/block-editor/src/components/block-settings-menu/block-settings-dropdown.js
index e9e3ae9b235a9..0d99e20172c3e 100644
--- a/packages/block-editor/src/components/block-settings-menu/block-settings-dropdown.js
+++ b/packages/block-editor/src/components/block-settings-menu/block-settings-dropdown.js
@@ -34,7 +34,11 @@ const POPOVER_PROPS = {
 	isAlternate: true,
 };
 
-export function BlockSettingsDropdown( { clientIds, ...props } ) {
+export function BlockSettingsDropdown( {
+	clientIds,
+	contexts = [ 'default' ],
+	...props
+} ) {
 	const blockClientIds = castArray( clientIds );
 	const count = blockClientIds.length;
 	const firstBlockClientId = blockClientIds[ 0 ];
@@ -145,10 +149,14 @@ export function BlockSettingsDropdown( { clientIds, ...props } ) {
 									/>
 								) }
 							</MenuGroup>
-							<BlockSettingsMenuControls.Slot
-								fillProps={ { onClose } }
-								clientIds={ clientIds }
-							/>
+							{ contexts.map( ( context ) => (
+								<BlockSettingsMenuControls.Slot
+									key={ context }
+									fillProps={ { onClose } }
+									clientIds={ clientIds }
+									context={ context }
+								/>
+							) ) }
 							<MenuGroup>
 								{ ! isLocked && (
 									<MenuItem
diff --git a/packages/edit-post/src/components/block-settings-menu/plugin-block-settings-menu-item.js b/packages/edit-post/src/components/block-settings-menu/plugin-block-settings-menu-item.js
index 8d3ebbc3ef6fd..01122e07d57a1 100644
--- a/packages/edit-post/src/components/block-settings-menu/plugin-block-settings-menu-item.js
+++ b/packages/edit-post/src/components/block-settings-menu/plugin-block-settings-menu-item.js
@@ -92,7 +92,7 @@ const PluginBlockSettingsMenuItem = ( {
 	small,
 	role,
 } ) => (
-	<BlockSettingsMenuControls>
+	<BlockSettingsMenuControls forAllBlocks>
 		{ ( { selectedBlocks, onClose } ) => {
 			if ( ! shouldRenderItem( selectedBlocks, allowedBlocks ) ) {
 				return null;
diff --git a/packages/editor/src/components/convert-to-group-buttons/index.js b/packages/editor/src/components/convert-to-group-buttons/index.js
index 21b6e92c1a9f9..e756ad94bfd07 100644
--- a/packages/editor/src/components/convert-to-group-buttons/index.js
+++ b/packages/editor/src/components/convert-to-group-buttons/index.js
@@ -19,7 +19,7 @@ export function ConvertToGroupButton( {
 	}
 
 	return (
-		<BlockSettingsMenuControls>
+		<BlockSettingsMenuControls forAllBlocks>
 			{ ( { onClose } ) => (
 				<>
 					{ isGroupable && (
diff --git a/packages/editor/src/components/reusable-blocks-buttons/reusable-block-convert-button.js b/packages/editor/src/components/reusable-blocks-buttons/reusable-block-convert-button.js
index 7c1b3a099f93e..bb9ffc97f026c 100644
--- a/packages/editor/src/components/reusable-blocks-buttons/reusable-block-convert-button.js
+++ b/packages/editor/src/components/reusable-blocks-buttons/reusable-block-convert-button.js
@@ -24,7 +24,7 @@ export function ReusableBlockConvertButton( {
 	}
 
 	return (
-		<BlockSettingsMenuControls>
+		<BlockSettingsMenuControls forAllBlocks>
 			{ ( { onClose } ) => (
 				<>
 					{ ! isReusable && (
diff --git a/packages/editor/src/components/reusable-blocks-buttons/reusable-block-delete-button.js b/packages/editor/src/components/reusable-blocks-buttons/reusable-block-delete-button.js
index 7f5e29f009d3f..55cb12855d6a1 100644
--- a/packages/editor/src/components/reusable-blocks-buttons/reusable-block-delete-button.js
+++ b/packages/editor/src/components/reusable-blocks-buttons/reusable-block-delete-button.js
@@ -18,7 +18,7 @@ export function ReusableBlockDeleteButton( {
 	}
 
 	return (
-		<BlockSettingsMenuControls>
+		<BlockSettingsMenuControls forAllBlocks>
 			{ ( { onClose } ) => (
 				<MenuItem
 					disabled={ isDisabled }