Milan vice-president Adriano Galliani claimed on Sunday that the Blues had approached the Serie A giants with "a really big offer" for their star forward.
The Rossoneri have incessantly stated the Brazilian playmaker is not for sale, while Kaka himself has stated his desire to stay at the San Siro.
And it now appears Chelsea, who recently signed Barcelona midfield maestro Deco, are not interested in luring Kaka to Stamford Bridge, even though the Londoners have been linked with a big-money move for some time.
The speculation has increased since the appointment of Luiz Felipe Scolari as manager at the Blues.