Two Tobias Gulliksen goals in extra time was what settled the tie for Djurgarden, he become the first Swedish team to reach the last four of a major European competition since Goteborg won their second UEFA Cup in 1987.
Gulliksen and his teammates were duly rewarded for their perseverance and patience, as he told UEFA.com after the match.
"What an amazing feeling. I am so proud of the team and the fans. It was an intense game. We had to be sharp and ready for what was happening.
"After the 90 minutes, the coach told us to stay calm and wait for openings. I missed a chance in the first half, but my second and third chances went in. We have already shown that we have a lot of strength - and weaknesses as well."
Gulliksen only had the chance to score the late winners after full-back Keita Kosugi side-footed the ball into the top corner from just outside the area, to put The Iron Stoves 2-1 up on the night as the 90 minutes were ticking down.
"I am so happy, it was a fantastic game. I can't say anything more. It was a lucky goal with my right foot. I think it was the most important goal of my career," said a delighted Kosugi, who is excited to face UECL favourites Chelsea in the last four.
"To play against Chelsea is going to be a big experience for me. I have never played against such a good team. Of course it's going to be a tough game but we can beat Chelsea as a team."
Before the match, head coach Jani Honkavaara had called on his players to stick to their game plan, but a red card to Rapid's Mamadou Sangare after only seven minutes was not as helpful to his side as one might imagine, according to him.
"I don't know if I'm more tired than the players! But the players gave everything," he said at the post-match press conference.
"The red card for them confused our game a bit. It's not always easy to play against a man under because then you try to do a bit too much, you try to play a bit too fast. We got a hold of it in the second half and I think we were quite good creating a lot of chances.
"It was a tight game and we gave everything, and I'm really happy for the players."
Honkavaara was struggling to put into words quite how extraordinary the second leg was, and having made it through in spite of a long injury list, hopes he will have a bigger squad to pick from when facing the Londoners.
"It's one of a kind and it's unbelievable to go through from this. I believe in it and I believe the players believe in it. It's an unbelievable feeling and, of course, thinking a bit ahead, it's difficult to understand that we go - hopefully not with 14 players - against Chelsea."
Chelsea reached the Semi-Finals despite a second leg defeat to Legia, while Real Betis will face Fiorentina in the other last four encounter.
