Despite penning new terms with United earlier this month, Nani is being linked with Juventus.
But Giuliani revealed to ilsussidiario.net: "He does not play much for Manchester United and could leave, but I know on him there is above all else one club.
"Galatasaray wanted him before and with Mancini continues to want him even now.
"And the Turks have more disposable income (than Juve)."
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