The Club World Cup champions have money to spend and had their eye on the Milan forward.
Sky Sport Italia claim that the bid is likely to be turned down, although Pato could leave the club in the January transfer window.
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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.