Mancheter United now turn their attention to the big matter of finishing in the top four starting with a trip to Everton on Sunday 21.
"We know there's work to be done". We want to get back toUnited's true traditions and challenge the likes of Barcelona'. "But the memory of what we did in Paris will live with the players because it's not long ago".
Solskjaer admitted in the immediate aftermath of their 3-0 defeat in Barcelona, which sealed a 4-0 quarter-final win on aggregate for the Catalan giants, that he faces a major rebuilding job to re-establish United among the European elite.
They have a battle on their hands to finish in the Premier League's top four but Solskjaer is already envisioning a scenario in the future where United are on an equal footing with their conquerors on Tuesday night.
They made an enterprising start as Marcus Rashford struck the top of the crossbar in the first few seconds but were thoroughly second best after five-time Ballon d'Or victor Messi opened the scoring after 16 minutes.
Before United could recompose themselves, things went from bad to worse as a weakly-hit Messi effort squirmed under the dive of David De Gea to put Barca 2-0 up on the night and 3-0 ahead on aggregate.
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City went a point clear with the win, only to fall back to second once again following Liverpool's victory over Chelsea . Harry Winks is also struggling with a groin injury , but Pochettino has said he is "optimistic" that he will be fit.
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And after the match, Foster admitted it was the pace of Aubameyang that caught him out. We have to improve that. "It will be an important game and a good challenge for us".
Manchester United are now in sixth place in the Premier League table and two points behind fourth-placed Arsenal with five games left to play this season.
Solskjaer said: "That's unfortunate with goalkeepers".
"I think it's important when you make a mistake of that nature, in your home country, he's now an experienced player".
"The quality of their finishing was absolutely outstanding".
It was Messi's tenth goal in Europe and 45th in all competitions this season as well as his 597th in a Barcelona shirt.
"The attitude was right, we were fighting against a good team and good players out there".
It was a miserable return to the Nou Camp for United manager Ole Gunnar Solskjaer, who scored the victor 20 years ago as the club beat Bayern Munich to win the Champions League and clinch the Treble. With his goals, he has now scored 24 times in 32 matches against English clubs.