Both United and Puskas' current club PSV Eindhoven have not commeted on the reports, although Puskas has himself spoken to the media in his homeland.
The 15-year-old is understood to have spent time at United's Carrington training complex last month, with a view to sealing a move to Old Trafford.
Puskas has admitted that he would love to move to England and told Origu.hu: "English football is my favourite because of their honest and fighter mentality.
"I have offers from big clubs but I know that as a Hungarian there's not fortune or tail-wind, the only thing that matters is the hard work."
Puskas - who is not related to Hungarian legend Ferenc Puskas - signed for PSV Eindhoven aged just 12, and in the last 12-months has been conincidenatlly has been coached by former United striker Ruud van Nistelrooy - who is current serving as a coach with the club.