Take a nice long look at this teaser image, because it's all that we know right now:
(Click for this image in gloriously animated .gif form.)
This is courtesy of a tweet this morning, and it's really not that hard to speculate what Edge Extended might be about. It seems pretty obvious that Extended would be a continuation of Edge [$2.99], which is a fantastic puzzle-centric platformer. It would seem to me that they couldn't just simply release a new game that's the same as the old one with different levels, so it also wouldn't shock me to see some new gameplay elements included. What those are is anyone's guess.
As soon as more details leak out of Mobigame, we'll be on top of 'em.