Jose Mourinho is keen to the Brazilian to replace Wayne Rooney at the end of the season, according to the Daily Star.
United would have to put down a huge offer to even get Barca to the negotiating table given Neymar is regarded as one of the best on the planet.
But even with a mega bid, it's said prising Neymar away from the Nou Camp looks beyond even a club of United’s resources.
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Even still, there were sensational reports in Spain last week suggesting United were eyeing up a £173m bid.
Spanish newspaper Sport suggested United were willing to activate the release clause written into the striker's contract.
The report added that Neymar could earn more than £400,000-a-week in wages.
Although he looks set to stay at the Nou Camp, Neymar has previously talked up a Prem switch.
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Neymar is wanted at Manchester United to replace Wayne Rooney
He said: "The Premier League is a championship that amazes me.
"I like the playing style and the teams. And who knows, someday, I would like to play at it, yes.
"I admire Manchester United, Chelsea, Arsenal, Liverpool — these are the teams that are always there fighting.
"And then you have high-level coaches like Mourinho and Guardiola. These are coaches with whom any players would like to work."