I'm curious about this too. I just bought a bed rail, so that the baby can sleep on the outside of me (DH tends to meander toward my side of the bed, and sometimes takes sleep aids) without worrying about falling off the bed. If that doesn't work, I'm planning on putting the basinette right up next to the bed.
I'm not sure how I feel about mattress wrapping, but it might be something we try. Or, we might just flip our mattress (we only have a pillow top on one side).