MFC Dll with GUI from Qt application

Hi,
I've recompiled MFC application to dll and want to start it from my Qt application. It starts but Keyboard shortcuts in menu (Ctrl+N for example) do not work. Also Toolbar update doesn't work. I thought it has something to do with MFC event loop while starting as dll. But mouse events work. I can call menu items, click on toolbar buttons, call popup menu. Qt/MFC Migration Framework is to create Qt event loop inside MFC application. It seems I need it from the other side: MFC event loop inside Qt application.
Is it possible?