It was one of those nights for the home side.
However, the Norwegian was left frustrated after watching Kimpembe score the first from Angel Di Maria's corner after being fortunate to escape a second yellow card before the half time.
A relatively toothless first half from both sides was turned around by the Parisians through their moments of inspiration in the second-half as goals from Presnel Kimpembe and Kyllian Mbappe secured their victory.
Former United winger Di Maria, booed from the outset by sections of the crowd, had the last laugh when he collected a fine pass from Marquinhos and set up Mbappe for the second goal.
"To open the scoring in this sort of Champions League match against United is a reward and something that I will always remember", said the France worldwide. "It was not easy with injuries [Neymar, Edinson Cavani] but we have great players, a great team, the match is ideal tonight".
"It was an experience that can go either way, it's not going to be a season-defining one, it's one we have to learn from".
Failures in those two games could effectively undo much of the progress and hype that Solskjaer's unprecedented run had carved out at United.
Julian Draxler confident PSG can stop Manchester United's Paul Pogba
Fellaini is now an interested observer of the goings-on at Old Trafford , with United enjoying a welcome upturn in form under Solskjaer.
"We will go to Paris to try to do something".
After a run of 10 wins and one draw in 11 games since Solskjaer replaced the sacked Jose Mourinho in December, defeat is a reality check for United's revival and they have a mountain to climb when the sides meet again for the second leg on March 6.
Solskjaer might have that tactical acumen in his locker, but it was not on show on a chastening night for the man in the home dugout.
Buffon became only the fourth player to feature in the Champions League at the age of 41, so is this a hint that PSG should activate the extension clause in his contract? The Chilean was largely anonymous after coming on as a first-half substitute and afterwards Solskjaer insisted it was up to him to get back to his best.
A Young cross was diverted away from Lingard and Pogba fired over, with Julian Draxler soon becoming the second PSG player to be booked when he fouled Ander Herrera. "We're Man United, we always bounce back". They were levels above us, we have to be fair. His task will be made harder should Lingard and Martial be sidelined for any length of time.
"Let me put it in another way, will Manchester United miss [Paul] Pogba if he was not there tomorrow, or [Marcus] Rashford?" he said.
All good things have to come to an end and the same is true for Solskjaer's magical streak of unbeaten games at the helm of United.