Solskjaer will now turn his attention to the battle for a top-four spot in the Premier League but the Norwegian admitted United face a "massive" next few years.
Almost 20 years ago at the Camp Nou, Solskjaer was part of the United team that pulled off one of the most spectacular comebacks in Champions League history.
Manchester United manager Ole Gunnar Solskjaer has urged his players to recall their last 16 exploits against Paris Saint-Germain for the second leg of their Champions League quarter-final against Barcelona.
De Gea - the most consistent performer for Manchester United in recent seasons - let a tame right-footed Messi effort wriggle under his body into the back of the net.
"You never know what can happen in football, they [United] have a very good team and they could have caused us problems, so we made sure we were focussed and played with intensity so we would make it through".
The entertaining factor was replaced by plenty of tension and poor play, and apart from a magical first 15 minutes from Barcelona which earned them the only goal of the game, it was not a night to remember in England.
They were in command after the mercurial Argentine master put them 2-0 up, although they had to ride their luck a bit in the opening exchanges as United threatened a stirring comeback.
"I think it's important when you make a mistake of that nature, in your home country, he's now an experienced player". "But then there were another 85 minutes where we weren't bad".
We were always underdogs but we had to back ourselves and believe.
"Roy Keane and Paul Scholes had it but they were world class players as well".
Tonight, the Reds are preparing to use last week's 2-0 first leg win at Anfield as a springboard into a semi-final against Barca. They've also not conceded a couple of times in any of those 30 games (15 goals in total) since a 3-0 loss to Bayern Munich in the 2012-13 semi-finals.