LAS VEGAS -- It didn't take long after Saturday's hotly disputed draw between lineal middleweight champion Canelo Alvarez and unified titleholder Gennady Golovkin for both fighters to demand a rematch.

A sellout crowd of 23,358 at T-Mobile Arena was treated to an action-packed bout in one of the most anticipated superfights boxing has seen in recent years. But judge Adelaide Byrd's 118-110 scorecard in favor of Alvarez set off a cacophony of boos as the draw was announced.

Judge Dave Moretti scored it 115-113 for Golovkin and Don Trella had it 114-114. CBS Sports scored the fight 117-111 for Golovkin (37-0-1, 33 KOs), who retained his trio of middleweight titles for the 19th time (one shy of Bernard Hopkins' division record).

"Of course I want a rematch. Yes, the next fight I want a true fight," Golovkin said. "I have a couple of ideas [for the rematch]. I want a close fight, Mexican style."

"This is terrible for sport of boxing. If judges like today, this is terrible. Unbelievable, unbelievable."

Despite being outlanded, 218 to 169, according to CompuBox, Alvarez (49-1-2, 34 KOs) believed he had won the bout.

"I think I won eight rounds," Alvarez said. "To be convincing, I felt that I won the fight.

"Yes, of course, obviously [I want a rematch]. Yes, if the people want it, yes. He did't win, it was a draw. I always said I was going to be a step ahead of him. We'll fight in the second one but I win anyways."

Golovkin promoter Tom Loeffler shared in the fighter's interest in squashing the controversy in a second meeting.

"I think the first score we saw was a little bit rough, I don't know how that one came out." Loeffler said. "It sets up a tremendous rematch if Canelo wants another crack at the titles. I will set that up with Eric [Gomez] and Oscar [De La Hoya of Golden Boy Promotions] if they want to make an offer."

While both fighters would have big-name options in the division should they not pursue a rematch -- including Miguel Cotto, Daniel Jacobs and WBO titleholder Billy Joe Saunders -- neither Alvarez or Golovkin would be able to make as much money with anyone else. Not only does a rematch make tremendous financial sense, it would have the potential to fix the controversial aftertaste left behind by Saturday's scoring.