Wilder (40-0-1) floored Fury (27-0-1) in the ninth and 12th rounds, yet Fury clearly outboxed Wilder for large portions of the remainder of their entertaining showdown.
Wilder (40-0, 39 KOs) is coming off a victory this past March over Luis Ortiz in which he had his loyal fanbase a bit anxious.
America's Wilder, who like Fury had previously won each of his professional fights and was the lighter of the two by 42lbs, also argued that he had deserved the decision but he said: "I would love for (a rematch) to be my next fight".
Shaheen Al-Shatti writing in Twitter said: "I've watched this 30 times and it's still stunning to me that Fury gets back up". "I came out slow".
If the Fury camp gets it wish, it would not be the first time that a United Kingdom football stadium has played host to a big fight, with Wembley having hosted the world title fight between Joshua and Wladimir Klitschko among others.
Deontay Wilder retained his WBC heavyweight crown after battling to a split decision draw against Britain's Tyson Fury in a pulsating 12-round battle.
"If it's a great fight and fans want to see the rematch then why not?"
Wilder scored two knockdowns and thought he won.
"We're the two best in the world and we proved it". We're both warriors, but with those two drops I won the fight.
It was not just the boxing world that was enthralled by what happened at the Staples Center, though.
Fury struggled to generate consistent offense until a strong sixth round, likely costing himself early rounds. Fury seemed in control when Wilder landed his trademark, a howitzer of a right that landed on the side of Fury's head. "Fury's stock went up!"
There were two different answers from Fury for the questions. And it was the third one who got it right.