Silva and Velasquez fought at UFC 146 in May of last year, and the Brazilian was knocked out in the very first round.
However, the stoppage was due mostly to a cut that opened on Silva's forehead. If the cut never would have opened, it would have been a completely different fight.
"[Silva] and Cain Velasquez had just fought recently, but I'm telling you, the way he looked in this fight and what he did to Alistair, maybe we do the [Velasquez-Silva] fight again," White said.
Overeem was a 4-to-1 favorite to beat Silva, but the Brazilian overcame all odds to earn the victory.
"He didn't respect me," Silva said of Overeem. "He talked a lot of [expletive] before the fight. He forgot, the fight is in the cage, not outside of it talking."
Silva threw a verbal pipe bomb at Overeem at the UFC 156 post-fight press conference, as he essentially said that his opponent can't take a punch.
"When he's the one punching, he's a lion," Silva said. "But when he's taking the punches, he's a [kitten]."
No official word yet on who Silva fights next, but a bout against Velasquez makes perfect sense. As for Overeem, perhaps a matchup against Junior dos Santos is in the cards.