The San Siro outfit have ruled out a move for the experienced midfielder as their focus lies on securing the services of promising youngsters instead
The 31-year-old has been linked with a return to San Siro on more than one occasion since leaving Milan for Madrid in the summer of 2009, but Galliani has ruled out a move for the creative midfielder due to his age.
"Kaka is already 31 years old. He will not return to Milan," Galliani told Sky Sport.
The attacking midfielder has a contract with Madrid until the summer of 2015, but he's widely expected to leave the club due to his lack of regular first team action in recent years.
Kaka made just 19 Liga appearances for the Blancos in the 2012-13 campaign, netting three goals in the process.