It's no secret that Balotelli is a Milan fan, having been pictured at San Siro watching their games on several occasions.
Balotelli was even convinced to pull on a Milan shirt on a satirical TV show earlier this year, drawing criticism from Inter fans.
When asked if he would like to sign Balotelli, Galliani said: "Yes, I would like to."
Galliani was also no stranger to the fact that Balotelli is represented by the same agent as Zlatan Ibrahimovic and Robinho.
"Ah, I didn't know," he joked.