The American will be ringside in Belfast and the two rivals are expected to confront each other after the fight, should Fury get past two-time world title challenger Pianeta (35-41, 21 KOs). "That's how simple it is".
Wilder's manager Shelly Finkel told BBC Sport the bout will be in "November or December in NY or Las Vegas".
"Ireland, I'm here baby", Wilder said in a message on social media after the incident. Joshua will fight Alexander Povetkin on September 22 at Wembley Stadium, and Wilder could be destined for a fight with Fury later this year.
Footage taken from the reception shows Wilder screaming: "I'll knock you out" at Fury with a crowd of people between them.
Tyson Fury responds to taunts from Deontay Wilder. "Fury has to do what he needs to tomorrow (Saturday) so that when we come to fight, that's how much excitement and aggression there will be".
Jurgen Klopp warns Liverpool players to respect his squad rotations
That will not happen. "There are more hard things in life than not being in a match squad for a day". We could give a few players the opportunity but there's no number in my mind at the moment".
Fury is a former WBA, IBF and WBO champion and if he were to seal another title fight, three years on from defeating Wladimir Klitschko, it would mark an incredible comeback.
A bout between Wilder and Joshua has been mooted for several months but drawn-out negotiations have failed, with the Alabama fighter stating he is now not interested in facing Joshua at Wembley in April, despite a date at the stadium already being in place.
The unbeaten 32-year-old was shouting his trademark "BombZquad" war cry at the weigh-in, which John Fury took exception to.
"He is the true champion on this side of the pond".
Fury has returned to his usual fighting weight after ballooning up to 27 stone in his time away from the ring, weighing in at 18st 6lbs ahead of his clash with Francesco Pianeta.