The Mail on Sunday says the Italians made their first move for Manchester Cityâ€™s powerful African forward earlier this week when the two clubs met to consider an offer for ACâ€™s Brazilian forward Alexandre Pato.
The bid for the 20-year-old was dismissed by Milan vice-president Adriano Galliani, who then enquired about Adebayor, the highest-paid player on the Eastlands staff.
Milan accept the Togo international will cost them at least the Â£25million City paid Arsenal for him a year ago.
Judging by the approach the Eastlands club made for Nikola Zigic before the Valencia striker joined Birmingham for Â£6m, however, it is clear they are prepared to offload Adebayor. He scored 14 goals in 25 Premier League appearances last season.