Attempt 2 at:

views/view.cc

Index: views/view.cc
diff --git a/views/view.cc b/views/view.cc
index 012240abc8de989e1187d0816c425038a199e6e4..988e76bc448aa72865154baf3fc39e24c5f50a98 100644
--- a/views/view.cc
+++ b/views/view.cc
@@ -132,6 +132,21 @@ void View::SetBounds(const gfx::Rect& bounds) {
   }
 }
 
+void View::RegisterForMouseNearEvents(const gfx::Insets& insets) {
+  RootView* root = GetRootView();
+  if (insets.empty()) {
+    near_insets_.reset(NULL);
+    if (root)
+      root->UnregisterViewForNearNotification(this);
+  } else {
+    near_insets_.reset(
+        new gfx::Insets(insets.top(), insets.left(), insets.bottom(),
+                        insets.right()));
+    if (root)
+      root->RegisterViewForNearNotification(this);
+  }
+}
+
 gfx::Rect View::GetLocalBounds(bool include_border) const {
   if (include_border || !border_.get())
     return gfx::Rect(0, 0, width(), height());
@@ -537,7 +552,7 @@ void View::AddChildView(int index, View* v) {
   UpdateTooltip();
   RootView* root = GetRootView();
   if (root)
-    RegisterChildrenForVisibleBoundsNotification(root, v);
+    RegisterChildrenForRootNotifications(root, v);
 
   if (layout_manager_.get())
     layout_manager_->ViewAdded(this, v);
@@ -609,7 +624,7 @@ void View::DoRemoveChildView(View* a_view,
 
     RootView* root = GetRootView();
     if (root)
-      UnregisterChildrenForVisibleBoundsNotification(root, a_view);
+      UnregisterChildrenForRootNotifications(root, a_view);
     a_view->PropagateRemoveNotifications(this);
     a_view->SetParent(NULL);
 
@@ -1440,24 +1455,26 @@ ThemeProvider* View::GetThemeProvider() const {
 }
 
 // static
-void View::RegisterChildrenForVisibleBoundsNotification(
-    RootView* root, View* view) {
+void View::RegisterChildrenForRootNotifications(RootView* root, View* view) {
   DCHECK(root && view);
   if (view->GetNotifyWhenVisibleBoundsInRootChanges())
     root->RegisterViewForVisibleBoundsNotification(view);
+  if (view->near_insets_.get())
+    root->RegisterViewForNearNotification(view);
   for (int i = 0; i < view->GetChildViewCount(); ++i)
-    RegisterChildrenForVisibleBoundsNotification(root, view->GetChildViewAt(i));
+    RegisterChildrenForRootNotifications(root, view->GetChildViewAt(i));
 }
 
 // static
-void View::UnregisterChildrenForVisibleBoundsNotification(
+void View::UnregisterChildrenForRootNotifications(
     RootView* root, View* view) {
   DCHECK(root && view);
   if (view->GetNotifyWhenVisibleBoundsInRootChanges())
     root->UnregisterViewForVisibleBoundsNotification(view);
+  if (view->near_insets_.get())
+    root->UnregisterViewForNearNotification(view);
   for (int i = 0; i < view->GetChildViewCount(); ++i)
-    UnregisterChildrenForVisibleBoundsNotification(root,
-                                                   view->GetChildViewAt(i));
+    UnregisterChildrenForRootNotifications(root, view->GetChildViewAt(i));
 }
 
 void View::AddDescendantToNotify(View* view) {