The British heavyweight, holder of three of the four world belts, has been accused by some fight fans of ducking the big match-ups, while rivals Wilder and Fury had a thrilling brawl in Los Angeles at the weekend.
Fury largely outboxed Wilder for the first half of the bout until a short right hand caught him on the temple and dropped him early in Round 6.
Tyson Fury has admitted that he is furious with the judges that scored his fight with Deontay Wilder as a draw, according to the Guardian.
Wilder faced the two toughest opponents of his career this year including a spectacular knockout win over Cuban slugger Luis Ortiz in a Fight of the Year candidate in March. Fury got up quickly and rallied to almost winning back the round as Wilder appeared as if he might've punched himself out going for the finish.
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With demand for a re-match feverishly high, bookmakers have already begun taking bets on who will prevail second time around, and this time favouritism lies with Fury. It was one of the most exciting fights - certainly the most exciting I've seen at heavyweight in America since Lennox Lewis-Vitali Klitschko (in 2003).
It now remains to be seen what direction Wilder goes in, with a rematch against Fury and the victor facing Joshua later in 2019 one possibility.
The previously-unproven Davison, 26, had been considered a potential weakness in Fury's preparations but in only their third bout together he oversaw a performance that suggests the fighter is again the world's finest heavyweight.
"But I didn't see any folding, Ben".
Wilder twice knocked down Fury, but otherwise struggled against the Briton, who believed he should have won and was outraged with the judges' controversial failure to separate the pair.
"I'm quite sure Mr Sulaiman [Mauricio Sulaiman, WBC president] - being the proud Mexican that he is - will want to make sure there is a rematch as his judge got it wrong". I don't know what fight those judges were watching; the guy who gave it 115-111, I don't know what he was watching. That has always been the fight we want because he has the last belt.