Rashford has been out of favour with Manchester United and has been training with a separate group of players.
Barcelona is said to be making progress on a deal to bring Rashford to Spain, with Manchester United agreeing to their initial terms.
Rashford spent the second half of last season on loan at Aston Villa, where he scored four goals and provided five assists in all competitions.
He has a strong connection with Manchester United, having come through the club's academy and making 426 appearances, scoring 138 goals.
