Kaka will sign a contract that will keep him at AC Milan until the summer of 2015.
Kaka is set to fly to Milano on Monday morning to undergo a medical.
The Brazilian, who has also been linked with the likes of Manchester United and Arsenal, returns to AC Milan on a free transfer.
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Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.
Newcastle United are staring down the barrel of relegation to the Championship for the second time in the past eight years.