The 32-year-old Ivory Coast international is approaching the end of his contract at the Etihad Stadium, and with no new deal on the table could walk away on a free transfer.
Toure has made just 16 appearances for Roberto Mancini's first-team this season, and is eager to play more regular football, which could prompt him to seek a new challenge away from the Premier League.
The Manchester City stopper has attracted interest from a number of different clubs around Europe, with Paris Saint-Germain, Galatasaray and Fenerbahce all said to be monitoring the African stopper's situation in England.
Last month, Toure talked up the possibility of a move to France with Monaco believed to be his preferred destination over current Ligue 1 leaders PSG.
"Monaco are a great club that want to progress like Paris," he told L'Equipe. "It can be a very good option indeed with my experience."
However, AC Milan are believed to be lining up a rival bid for the Manchester City star, which could see him reunited with former team-mate Mario Balotelli at the San Siro.
The Serie 'A' giants are set to introduce a new transfer policy which places an emphasis on buying young, up and coming talent, but will also look to add experience with bargain buys and Bosman free transfers.
Do YOU want to write for GiveMeSport? Get started today by signing-up and submitting an article HERE: https://www.givemesport.com/writeforgms