Di Maria turned provider yet again 7 minutes later as he exploited the gaps left by Manchester United on the left wing as they pushed up searching for an equalizer to tee up Kylian Mbappe for the French team's second of the night.
United did hold their own in the first half of a frenetic match but PSG dealt with what they had to offer.
Real Madrid have dominated the Champions League by winning the competition four times, while a slew of football's most decorated and gifted players have all called time on their careers. "We showed character to beat one of the best teams in the world in Manchester United".
There has to be some realism about the level that this group of players is at, despite the way Solskjaer has improved them since replacing Jose Mourinho before Christmas.
The second goal, on the hour, was the culmination of an electric counterattack. "Maybe he was a bit nervous and a bit overused because he plays all the time for us". As Di Maria sent in a cross, Mbappe darted between center backs Eric Bailly and Victor Lindelof and clipped the ball under goalkeeper David de Gea for his 23rd goal of the season.
Neville gives them little chance of turning the tie on its head, with it likely that the hosts will have Edinson Cavani back in their side by then - even if Brazilian superstar Neymar will still be sidelined.
Five-star shooting guard Anthony Edwards commits to Georgia over Kentucky
The in-state giant Georgia was the ultimate victor of the commitment from Edwards, but he's likely to be a one-and-done in Athens. Edwards chose Georgia over Kentucky after canceling a scheduled official visit to Florida State this past weekend.
The English giants will also have to cope without Paul Pogba in three weeks' time as he was sent off a minute from time to round off a awful night for the hosts.
"But nearly all of the United team were and aside from Alexis Sanchez, Solskjaer has improved every players' performance by at least 20 per cent, " the 48-year-old told Sun UK.
The second leg of the series will take place in March.
The interim boss said: "I can't do anything about Alexis Sanchez. It has to be one that we are going to learn from".
And having faced a backlash from PSG fans over his rousing pre-match video, Evra has now issued a response to defend his actions, accompanied by an image of him lifting the Champions League trophy.
PSG return to action in Ligue 1 on Sunday, with an away game to St. Étienne.