Neville is the 14 year-old son of former United fullback Phil Neville.
Super Deporte says United are keen on bringing him back to England after making an enquiry over the summer, with Tottenham also said to be interested.
Harvey joined the Spanish club in 2015 after his dad took up the chance to become their assistant coach.
Phil departed Valencia when brother Gary was given the axe as manager a year later.
But Harvey stayed put after being offered a new contract, and he is now being heralded as one of their most exciting young talents.