The 34-year-old muscle man issued a challenge to Katie’s soon-to-be-ex husband, saying come and have a go if you think you’re hard enough.
The British Association of Mixed Marshall Arts (BAMMA) who are organising Alex’s next bout have agreed to promote the clash, but have warned Peter he needs to bulk up first and get in shape.
The organisation believes the fight would attract thousands of fans and could even sell out London’s Wembley Arena.
A BAMMA spokesman said: It would be the biggest fight of the year.
The potential for a fight both financially and crowd-wise is limitless. But it would be too much of a mis-match. Alex is a legitimate sportsman and although Pete is not in bad shape himself he’d need six months training to keep up.
Peter’s feud with Alex began when the cage-fighter reportedly threatened him during a heated phone call.
The Behind Closed Doors singer was left stunned when Alex unleashed a torrent of abuse after Peter rang Katie's mobile phone and asked to speak to the three children he raises with the glamour model.
Peter, 36, reportedly lost his temper and threatened to break Alex’s legs.
Peter has claimed Katie stopped him from seeing the kids - Harvey, seven, Junior, four, and two-year-old Princess Tiaamii - for five days.
However, Alex insists he didn’t provoke Peter.
He is quoted as saying: I wish people could see what Pete was really like.