According to Yahoo Sports in Brazil, Manchester United have offered Ajax €50 million for Neres's services.
The Brazilian winger has been offered a new, improved deal by Ajax in an attempt to tie him down.
However, United's interest has reportedly turned the player's head – but their efforts may be thwarted by the Dutch club raising their valuation of the player to €70m.
This is believed to be because of Sao Paulo's 23% stake in any future sale of Neres.
The touted figure is believed to cause Financial Fair Play problems for United, who are about to splash £80m on Harry Maguire.
Neres scored 12 goals and assisted 15 for Ajax last season.
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