The Mirror reports that United boss David Moyes watched the 22-year-old in Belgium’s victory over Scotland on Friday.
Moyes is reportedly interested in adding more height and strength to his striking options.
Villa handed Benteke a new £60,000-a-week contract in July after the striker asked to leave the club.
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The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.
Five English clubs will compete in the last sixteen of the Champions League for the first time ever as Liverpool, Manchester United, Manchester City, Chelsea and Tottenham face some difficult away matches.