The two fought to a wild finish at UFC 49 on August 21, 2004 when Thomson (16-2) tried a spinning backfist only to get knocked out with a flying headkick.
"It was a spectacular finish," Edwards said. "We both scrambled and had a good idea, but mine was better."
This fight will be Edwards (34-14-1)'s second straight attempt at a title belt. In June Edwards lost to KJ Noons for the EliteXC 160-lb. championship in the main event of EliteXC: Return of the King.
Thomson, who won the Strikeforce belt in June against Gilbert Melendez, will be making his first title defense when he steps in the cage against Edwards. Thomson fought once more in September but the bout was non-title since his opponent was unranked Ashe Bowman. Thomson won via TKO in 74 seconds.
"The rematch is about winning back something that I let slip thrugh my fingers last time," Thomson said. "It was a fluke, but that's part of the fight game -- anyone can get caught. I blame my error last time on my cockiness. This time, I've got to stamp my mark on it."