Brazil international Robinho had been expected to leave the club in the current transfer window, but 68-year-old Galliani has officially ruled out the departure of the former Real Madrid man or any other striker at the club.
"Robinho will not leave," he told Sky Sports.
"Robinho did not want to leave Milan, he just wanted to go home. We failed to agree a deal with Santos and his agent couldn’t agree personal terms either.
"Other Brazilian clubs were ready to fulfil all the requirements, but Robinho wanted to stay with Milan. I heard from Gremio yesterday and they wanted him at all costs.
"Our attacking options are sorted, there will be no ins or outs. Robinho is happy to stay at Milan, so he will. The rumours linking us with Mario Balotelli are also false. I do not have a problem with the striker himself but our forward department is complete."
Robinho has scored two goals in 11 appearances in Serie A this season.