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City were rumoured to have scouted the player during Celtic's 3-0 Champions League defeat to Juventus in midweek.
But on Friday Mancini said: "I saw him for the first time against Juventus, I never saw him before. But every time I go to see a game, the next day people say ‘Manchester City want to buy this player'."
Asked whether he was interested in signing Wanyama, he added: "At the moment, no. I think he is a good player."