Fury's promoter, Frank Warren, standing near the two fighters in the ring, said an announcement will be made next week.
Italian Francesco Pianeta went the full 10 rounds but proved no real match for former world heavyweight champion Tyson Fury.
Fury excelled in rounds 6-10 as he out-landed Pianeta 71-21 overall en route to connect leads of 107-37 overall, 7-1 jabs and 100-36 power.
Wilder then climbed into the ring to join the 30-year-old Fury, where the American declared that their proposed fight is "officially on". I said yes. Now he gets a chance to fight the lineal champion.
A lot was on the line for Fury - he expects to make £10 million ($12.76 million) from facing Wilder, possibly in Las Vegas on November 10 or 17 - and he came through his audition without much discomfort.
Although Wilder and Fury remained largely cordial during their face-off, with Fury even holding up Wilder's WBC belt and waving it to the crowd before handing it back, the brash Englishman of Irish Traveller broke character when he predicted how he would defeat Wilder before leaping into his face and bumping him.
There was much less to impress Wilder once the action got underway as Fury failed to land a knockout blow. I said "send me a contract", they sent me a contract.
WBC heavyweight champion Wilder (40-0) is in Belfast to witness the bout with a view to taking on the former IBF, WBA and WBO king, who only returned to the sport after a two-and-a-half-year absence in June, following a breakdown in talks with Anthony Joshua. "One thing I do promise you, when I go to Las Vegas, I'm knocking you the f-- out".
Pianeta (35-4-1) weighed in at 16st, 2lbs and 10oz and asked Fury to pose for a selfie on stage following their face-off. "I needed the rounds, and I had plenty left in the tank". "I am going to knock you out. I don't hold my voice and I don't have any filters, I speak what I think". "We came here to get the rounds in with a tough man, quite durable". I thought that was a step-up and a better boxing display.