Whenever you hear the name Tito Ortiz, you are pretty certain Chuck Liddell's name comes right after it, and vice versa. Liddell and Ortiz were training partners for a brief time. Both guys rose through the ranks in the UFC, with Ortiz winning the light heavyweight title.
When it became clear that Liddell was ready for a title shot, Ortiz was reluctant to face him. After Ortiz lost his title to Randy Couture, the former training partners squared off at UFC 47 in April of 2004. Liddell defeated Ortiz that night by knockout in Round 2.
Liddell went on to win the light heavyweight title, and once again, he was on a collision course with Ortiz. The two faced each other once again at UFC 66 in December of 2006, with Liddell winning by third-round TKO.
Anytime after that, the two would always bicker about each other whenever the other person's name came up. People had always wanted to see a third fight, and the UFC was going to put them back together.
Liddell and Ortiz were named coaches of the 11th season of The Ultimate Fighter. The rivals were constantly at each other throughout the entire season. Rumors were starting to circulate that Ortiz had gotten injured during the taping. The UFC had denied it for the longest time, but ended up being true as Liddell went on to fight Rich Franklin.
Liddell retired after the Franklin fight, and Ortiz retired last July. People still speculate about the two Hall of Famers fighting each other, but it is highly unlikely.