Fernando Llorente and Oscar De Marcos scored to complete Athletic Bilbao's mesmerising two-legged victory over Manchester United and reach the quarter-finals of the UEFA Europa League with a 2-1 win at San Mames.
Heading home after last week's stunning 3-2 win at Old Trafford, Marcelo Bielsa's men dominated again, with Llorente firing a stunning volley to extend his side's aggregate lead in the 23rd minute.
Andoni Iraola, Markel Susaeta and Gaizka Toquero all missed chances to put their side further ahead before De Marcos effectively sealed United's fate with a 65th-minute effort to put them up 2-0 on the night and 5-2 on aggregate.
Wayne Rooney responded with a superb volley ten minutes from time but it was too little, too late for Sir Alex Ferguson's men, whose season of continental misery ended in a 5-3 aggregate defeat.
"We can't complain," Ferguson told Channel Five. "In the first half we let in a very soft goal, which was the last thing we wanted. I can't believe we lost a goal like that. Even though, in the first half we did quite well.
"At the start of the second half they did very well, and could have scored two or three. We managed to score a goal at the end, but it wasn't enough. There are lessons to learn in every football match. It's disappointment more than anything that we didn't play our best in the Champions League and now we're out of the Europa League."
"It was a wonderful match," said Spanish international Llorente, who was withdrawn before half-time with a left thigh injury. "The team played a memorable game. I don't know if it's my greatest moment with the club. But it's the first time that we've gone past the last 16 in the Europa League, and that's incredible."
Eredivisie leaders AZ Alkmaar survived the third-minute sending-off of Nick Viergever as they clung on for a 2-1 defeat at Udinese, which was enough to send them through 3-2 on aggregate.
Viergever's early dismissal threw AZ into chaos and things looked bleak when two goals from Antonio Di Natale drew the hosts level on aggregate within the opening 15 minutes.
But Udinese failed to make the most of their chances and AZ went back in front through a 31st-minute strike from Erik Falkenburg before managing to hold on for a last eight place.
Hannover hammer Standard
Hannover left no room for doubt with a crushing 4-0 second-leg win over Standard Liege in Germany to send them through to the quarter-finals 6-2 on aggregate.
Mohammed Abdellaoue opened the scoring on four minutes before two own goals from Brazilian Kanu either side of the break. Sergio Pinto added a fourth in stoppage time after Standard had Serge Gakpe sent off.
Former winners Valencia moved through 5-3 on aggregate after a 1-1 draw at PSV Eindhoven. Adil Rami opened the scoring for Valencia on 47 minutes before Ola Toivonen equalised. Goalscorer Rami was sent off in injury time.
Manchester City's storming second-half fightback at the Etihad Stadium proved all in vain as they were knocked out on the away goals rule by Sporting CP after a 3-3 aggregate finish.
But City blasted back to win 3-2, with two goals from Sergio Aguero sandwiching a Mario Balotelli penalty. Goalkeeper Joe Hart came close to heading a dramatic injury-time clincher but Roberto Mancini's men bowed out.
"We left them too much space on the counter-attack, didn't play as a team. We expected the counter-attack and didn't do a good job in the first half. We could have scored the fourth after scoring three," said Mancini. "I might have made mistakes, I'm sorry for the supporters."
Kharkiv progress after comeback
Ukrainians Metalist Kharkiv staged a fine late comeback to nudge out Olympiacos, with a 2-1 win in Greece enough to see them through on the away goals rule after a 2-2 aggregate result.
Ivan Marcano's early goal put Olympiacos further ahead on aggregate but Cristian Villagra equalised on the night in the 81st minute and Marko Devic scored the all-important winner four minutes from time.
A Klaas Jan Huntelaar hat-trick helped Schalke also come back from behind to beat Steve McClaren's FC Twente, with a 4-1 win on the night giving them a 4-2 aggregate win.
Willem Janssen had extended Twente's advantage with a 14th-minute opening strike, but Huntelaar equalised on 29 minutes and added two further second-half goals either side of a 71st-minute effort from Jermaine Jones.
Atletico Madrid wrapped up an impressive 6-1 aggregate win over Besiktas with a 3-0 win in Turkey. Adrian Lopez put the Spaniards ahead before late goals from Radamel Falcao and Eduardo Salvio completed their easy passage.