Milan media sources say Rossoneri vice-president Adriano Galliani is seeking a loan deal for Kaka.
With the Brazilian failing to catch fire on tour of the US, Real management are seriously considering cutting their losses and allowing the midfielder to leave.
Milan are pushing for a free 12-month loan, with the view to signing Kaka permanently next summer for a realistic fee. The midfielder's wages remain a problem, however.
Galliani has been pushing to introduce a new wage ceiling at Milan and Kaka's €9 million salary would smash that by some margin.
Along with the free loan, the Milan powerbroker hopes to convince Real president Florentino Perez to cover a percentage of Kaka's wages to make the move happen.