The attacking midfielder is currently co-owned by both clubs, but the Rossoneri want to buy him outright this summer.
"We'll find an agreement," Milan chief Galliani said on Monday. "Boateng will be our first choice attacking midfielder next season.
"I spoke with Genoa's Enrico Preziosi yesterday about him. He joked that he'd increased the price for Boateng on account of his dancing ability "