Silva to remain with Milan, feature in London
The Brazil international has been linked with a move away from the San Siro, with top European clubs keen to acquire the 27-year-old's services.
"We will do all that is possible and impossible to resist temptation," Galliani said to Gazzetta dello Sport. "Thiago Silva is happy to remain in Milan. He has a contract until 2016. There is a true siege for him. It seems every club wants him, rich clubs and their owners."
Silva will be in action in London this summer, with the central defender set to play at the Men's Olympic Football Tournament with Brazil.
"Thiago asked and obtained the authorisation from us to go to the Olympics," Galliani said. "We evaluated that it's better for us to have a player who is happy rather than unhappy."
Silva joined Milan in 2009 from Fluminense after previous unsuccessful spells in Europe with FC Porto and Dynamo Moscow. He made 27 league appearances for Milan this season.