‘The Bomber’ is scouting a new opponent for a potential summer blockbuster and Fury fits the bill after confirming his desire to end a two-year exile.
Bellew has been highly public with his aim to face Fury but admitted he did call the former world champion in order to put his case across.
“I spoke to him a little while back. We had a chat and we went over a few things and that was it,” Bellew told Sky Sports.
“There wasn’t really much to say besides ‘I want to fight you, you want to fight me. You’re Ring belt magazine champion, I like your belt, I want to punch your face in.
“Tyson Fury is a man of his word, so he’s good to deal with.
“A brilliant fighter, but I definitely reckon the way things have gone and the way the land lies at the moment, I definitely reckon I can beat him.”
A possible clash hangs in the balance though, as does Fury’s career, with the 28 year-old approaching a hearing with the British Boxing Board of Control and the UK Anti-Doping Agency regarding a failed drugs test later this month.
The pair will be hoping things go smoothly for Fury so they can share top billing on a massive promotion in the mid-to-latter part of 2018.
“Tyson’s got a long way to go, he’s got various hearings to go through, but the thing that is most clear about me and Tyson – we want to fight each other, so that’s there for everyone to see.”
Both will want warm-up fights before they eventually trade blows as Bellew saw a fight with David Haye collapse for December 17 and Fury hasn’t fought since dethroning Wladimir Klitschko in November 2015.