I have used DE and ME successfully on the same day.
I kept me speed sets around 5 or 6 without as much accomodating resistance as I would on a DE only day.
For the ME movement, I choose something that was simliar. For example, chain bench followed by a 4 board press. Chain 14 inch box squat, followed by a 14 inch ME box squat without chains.
Awhile back there was a post on elitefts on this topic. Unfortunately it did not go into much detail and a question I sent in was not answered (not saying this is bad, they are bombarded with tons of questions daily).
If you think about it, DE and ME is what a lot of Oly programs are structured as.