Full screen app in a small window (Picture in picture)

I'm currently running Mac OS X 10.10.1. Is there a way to get a full screen app into a window?

Example:

I have netflix running in a web browser full screen on one desktop. I'd like to take that full screen window and do a "picture in picture" and show it in the corner of the current desktop I'm working on. Is there an app out there that does this, or can it be done natively?

Alternatively, I realize that I can resize the window myself but I still have to deal with unused real estate (e.g. borders), and battling with making sure its always in focus.