AC Milan vice-president has contacted Roma sporting director Walter Sabatini to ask the availability of striker Mattia Destro.
The Rossoneri are on the hunt for a new frontman with Mario Balotelli set to move to Liverpool in a €20 million deal.
According to Sky Sport Italia, Galliani has already moved to replace the former Manchester City frontman with the Giallorossi forward, and has made initial enquiries with Sabatini.
Milan had initially put Porto’s Jackson Martinez as their number one priority, but the Portuguese club’s president has exclaimed he is not for sale.
Destro has been linked with a move away from Roma this summer, as Wolfsburg and Chelsea have lodged an interest.
