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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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.