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The 33-year-old Argentine superstar's Barca future has been cast in doubt for much of this season as the Spanish side failed to retain the La Liga title.
And a recent report sparked rumours that Messi could move to Inter after his father bought a house in Milan this week.
Speaking after Inter's 3-0 victory over Genoa on Saturday, Conte insisted that he couldn't think of a "madman in the world who wouldn't want Messi."
But the 50-year-old Italian manager explained why the six-time Ballon d'Or winner isn't part of Inter's plans.
"We're talking about fantasy football, situations that at the moment cannot be linked to Inter. For many reasons," Conte told reporters.
"I don't think there's a madman in the world who wouldn't want Messi. But that kind of situation really is very, very, very far from Inter, from what we are doing and what we are trying to build.
"We need to create a solid base, and then maybe... I repeat, this is fantasy football; however, I like the fact that when fantasy football is involved, the team that is linked to it is always Inter."
But Inter CEO Giuseppe Marotta, much like Conte, argued that trying to sign the Barcelona captain is "fantasy football."
He told Sky Sport Italia: "It's fantasy football. He certainly is not one of our objectives and I think he's interested in continuing his football career in Barcelona."
Messi, whose current Barcelona deal is set to expire next June, has scored 30 times and registered a whopping 26 assists this season.
Featured Image Credit: PA
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