The 25-year-old has barely featured for PSG this season having made just five appearances as a substitute in Ligue 1 plus another off the bench in the Coupe de la Ligue.
The Ligue 1 leaders are ready to cash in on the Brazilian, who has attracted interest from Chinese Super League side Beijing Guoan.
The Sun claims that United are exploring the possibility of a deal, but PSG’s high transfer fee could be a stumbling block.
United are looking to sign Moura on a loan deal, but PSG are insisting that a £40 million transfer fee is paid this summer.
Moura, meanwhile, is said to prefer a move to United over a switch to China.
Sir Alex Ferguson tried to sign the 25-year-old for United in 2012, but they lost out to PSG, who signed him from Sao Paulo for a then club-record £38m.
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