The 28-year-old has rediscovered his form since joining Barcelona on loan this summer, scoring six goals and providing seven assists in his 16 games.
Barcelona have a £30 million option to buy in the loan deal they negotiated with Manchester United, but the club’s ongoing financial issues will make it difficult to sign Rashford permanently.
According to Catalan outlet El Nacional, Rashford’s agent Dwayne Maynard has already met with Chelsea and Tottenham should the move to Barça not happen.