Metro reports that United have been told the Spain Under-21 player is available for a bargain £6million.
United boss David Moyes is desperate to bring in an attacking midfielder in January after having failed to land Cesc Fabregas and Ander Herrera in the summer.
Roberto has just 18 months left on his current contract with Barcelona and his agent has offered him around.
The highly-rated midfielder reportedly interested in a January move to Old Trafford.
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Chelsea have struggled to build momentum in the opening stages of the campaign and are currently looking over their shoulders at the relegation zone.
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