Wilder and Joshua could not agree terms, after both parties had made offers, to meet in a four-belt world heavyweight title fight to decide the undisputed champion.
Immediately after defeating Povetkin, Joshua said he'd like to fight on April 13th from Wembley Stadium.
Anthony Joshua stated his eagerness to fight Deontay Wilder at Wembley next April after overcoming a major scare at the London venue to emphatically defeat Alexander Povetkin.
The venue and date of Joshua's next fight have always been determined - Wembley Stadium on April 13 - but the opponent is still unclear.
After absorbing shots from Povetkin, Joshua's left hook straight right-hand combination twice wobbles Alexander Povetkin in the sixth.
In what was the close fight in the early rounds, Joshua was behind on the scorecards midway through the contest and aware of the threat of the older, more experienced challenger.
He added: 'I don't know this is boxing it's a amusing thing - he may need surgery after what happened to his nose. "The champion needs to get themselves over here to the United Kingdom and we'll have a good dust-up".
Joshua, 28, originally from Watford but now living in north London and training in Sheffield, was more composed in the fourth round and his work left Povetkin cut above his left eye.
Joshua, who said Thursday that "my well is deep, my heart can definitely go through hell and back", was certainly being tested in the opening exchanges, although he did start to respond with some single-punch jabs.
Povetkin again rocked Joshua with a short left hook in the third round, after he had landed a big overhand right, and the champion looked nervous.
"Povetkin is a very tough challenger and he proved it tonight", Joshua told Sky Sports.
Friday's weigh-in also confirmed a significant size difference, with Joshua tipping the scales at 17 stone 8 pounds (111.5 kilogrammes) compared to Povetkin's 15st 12lbs.
Former world champion Fury beat Francesco Pianeta on points in his second fight since making his comeback from a two and half year absence from the ring.
"Hopefully, it's me next, I'm here and ready to fight". "It could be one of the biggest fights in all time".