The 2011 Serie A champions are desperate to lure the attacking midfielder back to San Siro, and are set to launch a final attempt to get their man in the upcoming days
The Brazil international has long been linked with a return to the Rossoneri, but the Serie A outfit's dire financial situation has made a potential transfer complicated.
Nevertheless, Milan have not given up hope of re-signing Kaka just yet, and will re-open talks in the upcoming days.
"I will travel to Madrid in the next few days. We will have to wait and see what is possible," Galliani commented to Sky Sport Italia when questioned on a potential move for Kaka.
Milan are reportedly looking to sign the 30-year-old on a free one-year loan deal, and are willing to pay 50 per cent of the Brazilian's annual €10 million (£7.9m) salary.