Milan CEO Marco Fassone has refused to comment on the possibility of signing Diego Costa, despite admitting they met with the Chelsea striker's agent.
The Brazil-born Spain international has been deemed surplus to requirements by Blues boss Antonio Conte, who left him out of the pre-season touring party to Asia.
Costa is keen to rejoin Atletico Madrid, although a transfer ban prevents the Spanish club from making a move for their former player until January at the earliest.
The Rossoneri, meanwhile, are undergoing a rebuilding process ahead of their return to European competition, with the Serie A outfit's new owners funding a spending spree that has seen 10 new faces arrive at the San Siro since the transfer window opened.
Milan were told to look elsewhere in their pursuit of Torino hitman Andrea Belotti, and when asked about Costa, Fassone only revealed that there had been contact with his agent, Jorge Mendes.
"I would prefer to avoid talking about players from other teams; Diego Costa is a great player, but a Chelsea player," he told Sky Sports.
"We went to see Jorge Mendes; there is a lot you can talk to him about. Costa is a great player but he is of Chelsea. That's all."