The 16-year-old has undergone a physical with the Red Devils and will agree to United’s scholarship terms before turning 17 and signing professional terms.
The forward caught Chelsea’s eye last summer and is eligible for Wales, England, and Italy.
But United has prevailed in the battle for his signature, and the club’s recruitment of former Cardiff academy director David Hughes last year has undoubtedly boosted its efforts to capture the young man.
Biancheri has scored seven goals in 12 games for the academy this season and has already played for Cardiff’s U18s.
The teenager has previously represented Wales at the youth level, but England and Italy are closely monitoring his progress.
Wout Weghorst was acquired by United earlier this month to take the place of Cristiano Ronaldo, whose contract was canceled in late November.
Erik ten Hag is still looking to bolster his team, especially in the creative departments.
Christian Eriksen, who sustained an ankle injury in the FA Cup victory over Reading on Saturday, is anxiously awaiting the scan findings.