The Mirror reports that United turned down the chance to sign Strootman for less than £10million in 2011, while the midfielder was at Utrecht.
Strootman has long been linked with a move to Old Trafford.
The 22-year-old’s agent has recently hinted that his client could leave PSV Eindhoven at the end of the season.
Strootman only signed a five-year contract when he joined PSV last year.
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The start of the 2017-18 Premier League season is just around the corner and is shaping up to be one of the most competitive yet.
As always it is the so called “big clubs” that have splashed the most cash in the transfer window so far this summer. Manchester United or City? Arsenal or Tottenham? Who are the winners and losers of the transfer window so far?