LAS VEGAS – Canelo Alvarez reiterated during his post-fight press conference late Saturday night that he wants a rematch with Dmitry Bivol.

The four-division champion wouldn’t commit, however, as to whether he’ll battle Bivol a second time in his next fight. Alvarez had already agreed to face nemesis Gennadiy Golovkin in their long-awaited third fight September 17 at an undetermined venue before he boxed Bivol on Saturday night at T-Mobile Arena.

The Mexican icon could drop back down to the 168-pound division and proceed with that third fight versus Golovkin four months from now. Russia’s Bivol (20-0, 11 KOs) would still be contractually obligated to give Alvarez a rematch, which could come in the third fight of Alvarez’s three-fight agreement with DAZN and Eddie Hearn’s Matchroom Boxing if Alvarez (57-2-2, 39 KOs) opts to square off against Golovkin again in his next fight.

“We’re gonna go to see what’s next, to talk about it and we’ll let you know,” Alvarez said through a translator.

When pressed, whether he fights Bivol or Golovkin, if he still intends to return to the ring September 17, Alvarez replied, “We’ll see what happens in the future. But we’ll just have to wait and see what’s gonna happen.”

Alvarez, who will turn 32 on July 18, has fought in May and September three times since 2012 because his May fights have been scheduled either on or near Cinco de Mayo and those September bouts have happened on Mexican Independence Day, which is celebrated every September 16, or around that time. He also has fought in May and returned to action in November three times, though, since 2012, which could indicate that he’ll take a longer break between his loss to Bivol and his next fight.

Regardless, Alvarez insisted that he will box Bivol again because boxing’s former pound-for-pound king wants to redeem himself following a decisive defeat in their 12-round fight for Bivol’s WBA light heavyweight title. Alvarez lost by the same score, 115-113, on the cards of judges Tim Cheatham, Dave Moretti and Steve Weisfeld, yet Bivol appeared to beat Alvarez more convincingly than that.

“We want the rematch,” Alvarez said, “and we’re going to do much better in the rematch.”

Guadalajara’s Alvarez did much better in his rematch against Golovkin than he did during their first fight, which resulted in a controversial split draw at T-Mobile Arena in September 2017. He defeated Golovkin by majority decision in their 12-round rematch in September 2018, also at T-Mobile Arena.

Embracing his third fight against Golovkin (42-1-1, 36 KOs) next still might make more sense for Alvarez because that showdown would be contested in the division in which he operates at his best, super middleweight, and it would be a commercial success. The 40-year-old Golovkin figures to want their third fight next as well because it would represent not only his shot to avenge the Kazakhstan native’s lone loss, but it also would grant the IBF/IBO/WBA middleweight champ a chance to become boxing’s undisputed 168-pound champion, and for his biggest payday.

“My most natural weight, [where I’m] most comfortable, is 168,” Alvarez said. “And that’s where I feel best. So, we’re gonna go and see if we’re gonna take on this rematch [with Bivol].”

Keith Idec is a senior writer/columnist for BoxingScene.com. He can be reached on Twitter @Idecboxing.