The Red Devils see Tolisso as a potential replacement for veteran midfielder Christian Eriksen, who may be leaving the club. Tolisso has previously turned down offers from Turkey but may be open to a move to England.
Atletico Madrid are also considering a bid for Tolisso, as they prepare for the departure of midfielder Rodrigo de Paul to Inter Miami this summer.
Additionally, Saudi Arabian club Neom are also interested in signing Tolisso. They have already signed Lyon player Alexandre Lacazette this summer.