The Sun reports that United failed with their bid as the 20-year-old is keen to stay with Santos until after 2014 World Cup.
United made a move for Neymar after having been beaten by Paris St Germain in the chase for Lucas Moura.
United boss Sir Alex Ferguson could try with a new move for Neymar in the January transfer window.
Real Madrid and Barcelona have also been linked with a move for Neymar.
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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?