The Spanish striker, who had spent the last season on loan at Roma, joined the Rossoneri on a season-long loan in the summer.
He first struggled to hit the ground running at San Siro, but has recently started to become more influential for Max Allegri’s side.
Krkic scored his first Serie A goal for the Rossoneri in the 5-1 win over Chievo, and he seems to have done enough to persuade the club officials to try and buy out his contract from Barcelona.
Milan vice-president Adriano Galliani revealed last week that the Italian club had a buy option on the young forward, which is believed to be around €18 million.
The Rossoneri have already opened talks with Barcelona regarding Krkic, but they are eager to lower the Catalans’ asking price.
If Milan manage to sign the Spaniard on a permanent deal, that will probably see Robinho leave the club in January transfer window.