There was some modest interest in backing Ole Gunnar Solskjaer's side to become the first team to overcome a two-goal home defeat in the knockout rounds of this competition, but they went off as an 18/1 (19.0) shot.
That was quickly cut to around 11/2 (6.50) as Romelu Lukaku struck inside the opening two minutes, although Juan Bernat's equaliser seemed to settle the hosts.
Lukaku got his second goal courtesy of an error from Gianluigi Buffon and United went into the break leading 2-1 on the night but needing another strike to progress on away goals.
PSG seemed to be doing enough until a late VAR review awarded the visitors a controversial penalty. Presnel Kimpembe was adjudged to have handled a Diego Dalot shot just inside the 18-yard box.
Marcus Rashford stepped up to finish with aplomb and completed one of the most remarkable Champions League comebacks of all time.
bet365 made United 125/1 (126.0) in their Champions League winner odds prior to kick-off. That price now sits at 10/1 (11.0) as Solskjaer's side hauled themselves back into serious contention, the same quote as Liverpool and Bayern Munich who meet next week at the Allianz Arena for a spot in the quarter finals.
bet365’s Steve Freeth said, “This incredible Ole Gunnar Solskjaer story shows no sign of stopping in what has been a good night for punters.”
The Parisiens have now crashed out Europe's premier club competition at the last 16 stage in each of the last four seasons despite an eye-watering level of investment in their playing squad. Two of of those exits involved incredible second leg comebacks and that lack of composure in the knockout stages is a major headache for the club's hierarchy.
Elsewhere, VAR played a part in Porto's extra time win over Roma at Estadio do Dragao. The hosts were awarded a penalty in the 116th minute but the additional officials ruled against Patrik Schick's claims for a spot-kick minutes later. The Portuguese side progressed 4-3 on aggregate but remain relative outsiders at 50/1 (51.0) with bet365.
Odds correct at the time of publish. Please gamble responsibly.