The Brazil international joined Barca for an initial €120 million (R1.93bn), plus a further €40m in variables, which was surrounded with major fanfare after the departure of compatriot Neymar in the previous transfer window.
After a promising start to life at the Camp Nou, the new season has brought challenges for the talented playmaker.
However, according to The Daily Mirror, United are open to ending his spell with the Blaugrana.
It's been claimed that the 26-year-old has already contacted some of the senior figures in the Red Devils dressing room in order to gauge whether his arrival would be welcomed.
The Mirror further stated that United would be willing to pay €115m (R1.86bn) to secure his services but could face competition from Paris Saint-Germain.
The Ligue 1 side were heavily linked with Coutinho before he moved to Catalonia and he would join a side with a host of Brazilian teammates.
While the playmaker has seemingly retained the confidence of Ernesto Valverde and his teammates in recent media statements, there is no doubt that he has struggled to adapt to Barcelona's style of play.
Coutinho has scored four goals and registered two assists in 25 LaLiga outings this season.