Ryan Seacrest was phoned in on Larry King Live and said that:
Song 1: They have to choose a song they have already done
Song 2: Simon Fuller chooses a song for them (producer)
Song 3: Coronation Song

“And Round Three will be the winner’s single – and this year, whoever wins will have the same single.”

VOTE FOR ADAM

Well, I’ll be the first to say I’m not trilled that they will be doing a song they’ve already done, although, I have good intel that Adam will be singing “Mad World” which is BY FAR my favorite performance, so I won’t complain too much.

Another unconfirmed rumor circulating is Simon Fuller’s choice for Adam will be Leona Lewis’ Bleeding Heart.  Could be magical!