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Unai Emery briefly had hope of a triumphant Parc des Princes return as Morgan Rogers put Villa ahead totally against the run of play in the first half, but that joy was short-lived.

Desire Doue's curling strike from the edge of the box quickly dragged PSG level, then Khvicha Kvaratskhelia put it ahead with another stunning effort shortly after half-time.

Penned back inside its own half, Villa desperately attempted to limit Luis Enrique's men to a 2-1 lead going into the second leg, but it was floored at the last, as Nuno Mendes added another composed finish. 

PSG dominated from the first whistle, with Emiliano Martinez tipping Ousmane Dembele's fierce strike over, before Vitinha sent a curling shot just past the top-right corner from range.

But Villa struck completely against the run of play in the 35th minute. A flowing move culminated in Marcus Rashford slipping Youri Tielemans into the box on the left, and his low cross was turned home by Rogers at the far post.

But PSG refused to panic as a Doue effort struck the post and was scrambled off the line by Martinez, and the teenager had his goal 28 seconds later. Cutting in from the left, he fired an unstoppable shot off the underside of the crossbar and in.

Doue could have had another before half-time, drawing Martinez into another save then embarking on a slaloming run that ended with a shot blocked at close quarters.

But it was Kvaratskhelia who put PSG ahead four minutes after the break, beating half-time substitute Axel Disasi by nonchalantly rolling his studs over the ball, before lashing into the top corner from an acute angle.

Villa could not get close to PSG as they went in search of a third goal, but it looked as though they would have to settle for a one-goal lead when Achraf Hakimi was denied by Martinez, having seized on a clever dummy from Fabian Ruiz.

But three minutes into stoppage time, PSG found the goal that could very well decide the tie. Mendes raced onto Dembele's pass and sat Martinez down by cutting back onto his right foot, before sweeping into an empty net.