Tuttosport claims the 32-year-old suffered a thigh problem during a friendly with the Beretti youth team at Vinovo on Tuesday.
Medical tests have reportedly shown that Trezeguet has a muscle fatigue.
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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.