Tuttomercatoweb.com reports that City are ready to offer the 30-year-old a lucrative deal in order to tempt him into moving to Eastlands.
The Brazilian forward has fallen down the pecking order at the San Siro, following the arrival of Robinho and Zlatan Ibrahimovic over the summer.
City are reportedly ready to offer Ronaldinho a contract worth €7.5million per year.
Ronaldinho’s current contract at AC Milan is set to expire at the end of the season.