Inter Milan identities have talked up the prospect this week, including former president Massimo Moratti.
There's been claims Messi can walk away from Barca for nothing due to a break clause in his contract. But Tuttosport says Barca would sell the Argentine - should he demand to leave - for a 'symbolic price' of €100m.
However just last night, Messi slammed the claims he wanted to leave Barca.
The star took a screenshot from TNT Sports and wrote on social media: "#FakeNews'"and "Lie 1: Messi to Inter, Lie 2: Messi gave money to Ronaldinho in jail".
He then added: "What they said about Newell's Old Boys a few weeks ago is also false, thank God no one believed them..."