La Gazzetta di Modena reports that United boss Sir Alex Ferguson is having scouts watch the youngster in action this season.
The 18-year-old has featured twice and scored on goal for Sassuolo this season.
United are considering making a bid for Berardi, who is seen as one for the future.
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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.