Milan lost 2-1 at Sampdoria to an injury-time goal on Sunday to all but end their Serie A title hopes while media have been rife with rumours that the rookie coach is unhappy with club president Silvio Berlusconi for his thrifty transfer spending.
"There are no problems over buys, it's just that he has three kids in Rio and sooner or later he will go back to Brazil," Galliani told Sky television.
"But I think I can convince him to stay in Italy."
Galliani also flatly denied media reports that Italy coach and former Juventus and Inter Milan boss Marcello Lippi would become Milan's sporting director after the World Cup.
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