Kaka has been linked with a big-money move to Chelsea after his fellow Brazilian, Luiz Felipe Scolari, took charge at Stamford Bridge. Milan have repeatedly stated the playmaker is not for sale, while Kaka has voiced his intention to stay at the San Siro.
Galliani claims Chelsea have tried to tempt the club into parting with Kaka and that the Rossoneri have also received enquiries for influential midfielder Andrea Pirlo.
"For Kaka, a really big offer has arrived from Chelsea," Galliani told La Stampa.
"For Pirlo, there have been many requests. As for him, neither Pirlo nor his agent have come in to my office asking for an improvement in his salary."