The San Siro outfit will continue negotiations with Los Blancos on American soil in order to seal a deal for the Brazilian playmaker, as well as a host of other playershere.
An AC Milan delegation will fly to the United States before the end of July to continue negotiations with Real Madrid over the transfer of Kaka, according to Corriere dello Sport.
The Serie A giants have made no secret of the fact that they are interested in re-signing the Brazilian playmaker, who has endured a largely unproductive spell at the Santiago Bernabeu following a €68 million (£53m) transfer in 2009.
Madrid coach Jose Mourinho has admitted that he does not know whether Kaka will remain at the club, but the Rossoneri are still a long way from signing the 30-year-old as they are not prepared to match his current wages.
It is reported that Milan vice-president Adriano Galliani will meet with Madrid president Florentino Perez during Los Blancos' pre-season tour of the United States to discuss the potential transfer of the Brazilian, as well as certain other players deemed surplus to requirements in the Spanish capital.
Ricardo Carvalho, Nuri Sahin, Sami Khedira and Lassana Diarra are all understood to be on the wishlist of Milan, who will have money to spend after the €65m (£51m) sale of Thiago Silva and Zlatan Ibrahimovic to Paris Saint-Germain earlier in July.