The 2006 World Cup winner has been paired with a San Siro exit despite being signed outright from Genoa just last month.
"Amelia will certainly remain at Milan," representative Carlo Pallavicino said. "The rumours about him are unfounded. I'm 100 per cent sure that he'll stick with the Rossoneri."
"I know Cagliari boss Roberto Donadoni very well," the custodian revealed last month.
"He asked me if I wanted to go and play for him, but, after thanking him for the opportunity, I told him that I didn't want to leave Milan."