The Basle striker is wanted by London rivals Arsenal and Tottenham.
But The Sun now claim United have thrown their hat into the ring too by sending a scout to watch the £15m-rated man in action.
Embolo has shot on the radar of the English heavyweights after impressing for Basle in the Swiss top flight and the Champions League.
He also earned a first call up to the Switzerland senior team earlier this year.
Wolfsburg and Juventus are said to be in the running for the 18-year-old, but are unlikely to be able to match the Premier League clubs' spending power.
Embolo has scored eight goals in 21 appearances for club and country this season.