Carl Frampton and Leo Santa Cruz have now fought twice and each won once
Frampton lost his WBA featherweight title to Santa Cruz last night in Las Vegas by majority decision.
He had beaten the Mexican six months before in New York to claim the belt.
But now having won one fight apiece, Frampton and manager Barry McGuigan want an immediate rematch to settle the score back in Belfast.
Barry McGuigan is hopeful but not confident of a rematch in Belfast
However, former world featherweight champion McGuigan is not confident that the deal will get done on the terms they want.
“I hope Leo will be honourable and a man of his word and come to Belfast,” McGuigan told the BBC.
“We’ve come to America twice so it’s only fair and proper that he comes and boxes in Belfast.
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“[Promoter Al Haymon] said there would be a rematch and I trust him completely.
“But [the location] might be the sticking point.
“A lot of these guys slip out of these things that they commit to and then they don’t want to do.”
Leo Santa Cruz is world champion once again after winning a decision against Carl Frampton
Frampton won his first world title against Kiko Martinez in Belfast and also fought his first defence - against Chris Avalos - there.
However, he has not fought on home soil since February 2015 and travelled to El Paso, New York and Las Vegas for bouts since.
“Carl doesn’t want to fight anywhere else,” McGuigan added.
“He’s been away for some time now.
“He wants to come home.”