Rashford, just like star goalkeeper David De Gea, is no closer to signing a new contract at Old Trafford.
Both players will currently be free agents next summer, a scenario which could force United to cash in soon rather than losing the duo for nothing.
The Sun says new deals have been offered to Rashford and De Gea and are still on the table, but the pair are keeping their options open.
The Red Devils will endure next season without Champions League football due to last year’s sixth placed finish.
As a result, Real Madrid have been linked with a mega-money move for Rashford, who bagged 13 goals and nine assists last season.
While De Gea, 28, has been touted to join Ligue 1 champions Paris St-Germain as a replacement for veteran stopper Gianluigi Buffon.
Paul Pogba’s second Old Trafford spell could be coming to another premature end this summer too.
The World Cup winning midfielder reportedly wants a fresh start, and could be tempted to walk away if Juventus or Real Madrid come in with a big offer.
Juan Mata has also expressed minimal desire to extend his stay six year either.
The 31-year-old is reportedly the centre of a battle between Turkish giants Galatasaray and Fenerbahce for his signature.
United are aiming to get flop signing Alexis Sanchez off the wage bill this summer, according to The Sun’s report.
The ex-Arsenal man will represent Chile in the Copa America starting this weekend and will look to put his club struggles temporarily behind him.
Manchester United boss Ole Gunnar Solskjaer is running out of patience with Sanchez and the strain his £500,000-per-week wages put on the club.
“As a club we cannot carry players,” the Norwegian manager said in April. “I’m not just talking about Alexis. Everyone is under the same demands.
“Everyone has to take ownership, keep improving, show that hunger that you want to get better individually and as a team.
“Alexis has got a fantastic talent when he’s at his best level. Now we want him performing for us.”