But, on the brink of securing the point they needed to reach the knockout stage, the visitors were undone by Michael Lang's 89th-minute goal. United can still qualify as group winners if they beat or draw with CSKA Moscow in their final group stage match.
Elsewhere, Barcelona eased to round of sixteen after settling for a barren with Juventus, Chelsea also booked a place in the knock out stage after beating Qarabag four nil while Bayern Munich were 2-1 winners over Anderlecht.
PSG ran rout as they battered Celtic FC 7-1.
It's now 39 matches since Monaco travelled to the Parc des Princes in March 2016 and became the last away team to win. Thirteen years since anyone won in the Champions League here.
In nine home league games this season, Unai Emery's runaway train have scored 32 times, conceding just five. In the Champions League, they hadn't conceded so much as a goal.
-Dailymail