United were down 3-0 when the half-time whistle blew of the first-leg at Old Trafford.
But Solskjaer encouraged his players to think positively heading into the second-half, with Marcus Rashford eventually bringing the scores to 3-1.
"'There are still three 45 minutes to be played, we've got to stay in the game, make sure we win the second-half'," Solskjaer said.
"You come into half-time, with that result, that's the word pride Pep was talking about, is one word you speak about, make sure you win the second-half and are in the tie. Of course, it's a difficult task but that second-half at least gave us something to hang onto."