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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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.