Reports over the weekend suggested Kaka could be on his way to Stamford Bridge in a world record deal after Chelsea made a move for the Brazilian playmaker.
"It's true that Chelsea made a conspicuous offer, but I will not say how much it was," Galliani told the Italian press.
"It is equally true that we said no. President Silvio Berlusconi rejected the chance to sell Kaka, just as he told Real Madrid no in 2001 for Andriy Shevchenko."
Galliani insists Kaka and Juventus target Clarence Seedorf will be staying with the Rossoneri for the new season.
"Kaka is going nowhere and neither is Clarence Seedorf," added Galliani. "The fans can sleep easy."