Kaka is free to leave Milan in the summer courtesy of a clause in his contract.
"Everyone likes to dream," Sao Paulo president Carlos Miguel Adair said.
"Joking aside, there is only one name that I really want - Ricardo Kaka. It would be a dream to bring him home.
"For us he would be perfect. He has the face of someone from San Paulo, he is beautiful, good, speaks well and has all his teeth.
"We could not compete with the money of the Arabs and the Chinese, but he knows that here he would be the right man in the right place."
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