Attempt 2 at:

views/widget/root_view.cc

Index: views/widget/root_view.cc
diff --git a/views/widget/root_view.cc b/views/widget/root_view.cc
index 3ea101cce6f28e2c3945c7338b7763ce6b9b9dc3..12faf68697bdfd25d924bd0311b172437e63be9b 100644
--- a/views/widget/root_view.cc
+++ b/views/widget/root_view.cc
@@ -489,6 +489,33 @@ void RootView::OnMouseMoved(const MouseEvent& e) {
     mouse_move_handler_->OnMouseExited(exited_event);
     SetActiveCursor(NULL);
   }
+
+  if (registered_near_views_.empty())
+    return;
+
+  std::set<View*> near_views;
+  GetViewsRegisteredForNearNotification(e, &near_views);
+
+  MouseEvent exited_near_event(Event::ET_MOUSE_EXITED_NEAR, 0, 0, 0);
+  for (std::set<View*>::const_iterator i = near_views_.begin();
+       i != near_views_.end(); ++i) {
+    if (near_views.find(*i) == near_views.end())
+      (*i)->OnMouseExitedNear(exited_near_event);
+  }
+
+  for (std::set<View*>::const_iterator i = near_views.begin();
+       i != near_views.end(); ++i) {
+    if (near_views_.find(*i) == near_views_.end()) {
+      MouseEvent entered_event(Event::ET_MOUSE_ENTERED,
+                               this,
+                               *i,
+                               e.location(),
+                               0);
+      (*i)->OnMouseNear(entered_event);
+    }
+  }
+
+  near_views_.swap(near_views);
 }
 
 void RootView::ProcessOnMouseExited() {
@@ -497,6 +524,8 @@ void RootView::ProcessOnMouseExited() {
     mouse_move_handler_->OnMouseExited(exited_event);
     mouse_move_handler_ = NULL;
   }
+
+  SendMouseExitedNear();
 }
 
 void RootView::SetMouseHandler(View *new_mh) {
@@ -880,6 +909,15 @@ void RootView::UnregisterViewForVisibleBoundsNotification(View* view) {
   }
 }
 
+void RootView::RegisterViewForNearNotification(View* view) {
+  registered_near_views_.insert(view);
+}
+
+void RootView::UnregisterViewForNearNotification(View* view) {
+  registered_near_views_.erase(view);
+  near_views_.erase(view);
+}
+
 void RootView::SetMouseLocationAndFlags(const MouseEvent& e) {
   last_mouse_event_flags_ = e.GetFlags();
   last_mouse_event_x_ = e.x();
@@ -936,4 +974,38 @@ void RootView::SetActiveCursor(gfx::NativeCursor cursor) {
 #endif
 }
 
+void RootView::GetViewsRegisteredForNearNotification(
+    const MouseEvent& e,
+    std::set<View*>* near_views) {
+  const gfx::Point& location = e.location();
+  for (std::set<View*>::const_iterator i = registered_near_views_.begin();
+       i != registered_near_views_.end(); ++i) {
+    View* view = *i;
+    DCHECK(view->near_insets_.get());
+    const gfx::Insets& insets = *view->near_insets_;
+    gfx::Point view_loc(view->x() - insets.left(),
+                        view->y() - insets.top());
+    View::ConvertPointToView(view->GetParent(), this, &view_loc);
+    if (location.x() >= view_loc.x() &&
+        location.y() >= view_loc.y() &&
+        location.x() < view_loc.x() + (view->width() + insets.width()) &&
+        location.y() < view_loc.y() + (view->height() + insets.height())) {
+      near_views->insert(view);
+    }
+  }
+}
+
+void RootView::SendMouseExitedNear() {
+  if (near_views_.empty())
+    return;
+
+  MouseEvent exited_near_event(Event::ET_MOUSE_EXITED_NEAR, 0, 0, 0);
+  for (std::set<View*>::const_iterator i = near_views_.begin();
+       i != near_views_.end(); ++i) {
+    (*i)->OnMouseExitedNear(exited_near_event);
+  }
+
+  near_views_.clear();
+}
+
 }  // namespace views