AC Milan general manager Marco Fassone has said he expects to know by Christmas whether Kaka would consider a return to the club in a new capacity.
Kaka, who spent seven years of his playing career at Milan, announced his retirement on Sunday and said he had held preliminary talks over a director's role.
Fassone told Milan's official website: "We exchanged a few ideas for his future and that of Milan, and he has allowed himself the month of December to decide what to do.
"I think that there could be the chance we'll be in touch again before Christmas to see whether there will be the opportunity to continue this fairytale together."
Kaka won the Serie A title in 2004 and the Champions League, UEFA Super Cup and FIFA Club World Cup in 2007 as he enjoyed his greatest successes in a Milan shirt.
But the present Milan team are struggling and a 3-0 defeat to Hellas Verona last weekend was described as a "humiliation" by Fassone and left them 14 points adrift of the top four.
"After the Verona defeat we took a few hours before taking any kind of decision, considering the extremely uncomfortable moment that it was," Fassone said.
"We were convinced that we could turn the corner, but unfortunately that did not happen.
"The day after, we met up and agreed that it would not be right to get together in the evening and celebrate the impending Christmas festivities.
"As a consequence we decided on the training camp, in order to try to spend more time together and talk to each other, exchange ideas, discover what is not working and try to resolve the problems because the group need to understand what it means to be Milan and the significance of this shirt.
"We all saw the Verona defeat as a humiliation, and it must not happen again."
He added that Christmas "is going to be strange, with a lot of work," and said: "It's the first time Serie A does not have a break, and this peculiarity made us think that it was the right thing for us to stick together."
Milan host Atalanta on Saturday before meeting rivals Inter Milan in the quarterfinals of the Coppa Italia on Dec. 27.
They then travel to Fiorentina before hosting Crotone ahead of Serie A's two-week winter break.