A really good sandwich mixture to make from eye of round or rump is to put a jar of hot 'n sweet Italian peppers in a crockpot. Put in the roast and cook for 8-10 hours. Shred the meat and serve with the juices on a crusty roll with cheese. Wrap in foil and run in oven to melt cheese.
Or any pot roast recipe=braised.
I have been looking for something to do with my left over beef after I cook my sunday roast, I think this could be a tasty way to use up the meat we don't manage on the sunday.