However, unsurprisingly Barcelona president Josep Maria Bartomeu has moved to reject any prospect of the Brazilian winger leaving the Nou Camp, claiming they want Neymar to retire at the Catalan club.
United were supposedly happy to offer Barca £165m for the 23-year-old and offer him £300,000-a-week on a five-year deal, but Bartomeu has insisted the club are open to new contract negotiations with Neymar in the coming months, to tie down his long term future.
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As relayed by the Mail, Batomeu told Radio Catalunya: "We do not want Neymar to leave, he is young and we want him to retire here at our club.
"We will discuss Neymar's renewal in some months' time as he must stay here - not only for the next three seasons, but for the next five or 10."
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Manchester United decided against a deal for Pedro, who hit the ground running on his Chelsea debut, and received further disappointment when told Sadio Mane was not for sale.
irrespective of how unlikely it seemed from the moment the news was broken by the Sun, it now seems certain Neymar is going nowhere.
Having joined Barcelona in 2013 from Santos, the Brazilian has gone on to make 92 appearances for the Catalan club, scoring 54 goals, along with striking up the most lethal threesome in world football that produced 122 goals and an historic treble.
Lionel Messi is 28 and still has a number of year ahead of him at the Nou Camp, but he won't be around forever, and in Neymar Barcelona have a ready made replacement for the next main man at the current Spanish champions.
Manchester United, with their history and money would have held some confidence of snatching the Brazilian, and can still chase him in future transfer windows, but in the short term United need to address their side and fast.
Passing up on Pedro could prove to be a huge mistake if he can recreate his debut form and the Red Devils' draw against Newcastle highlights that the Old Trafford club are far from the finished article.
An out and out wide player who can hug the touchline and stretch play is a necessity, as is another striker to help shoulder the burned or push Wayne Rooney onto the level he is expected to be at.