A first-half surge shocked the Portuguese into submission at the Sanchez Pizjuan, thus earning the Liga outfit a last-four spot alongside Benfica, Juventus and Valencia
Sevilla boss Unai Emery said he was proud of his players after a stunning 4-1 win over Porto secured a Europa League semi-final berth.
Trailing 1-0 from the first leg, the Rojiblancos produced a rousing display with three goals in the opening half hour from Ivan Rakitic, Vitolo and Carlos Bacca.
Coke was sent off just after half-time for the victors, but Kevin Gameiro's strike saw them move ahead 4-1 on aggregate, meaning Ricardo Quaresma's late consolation was of no relevance.
"We have to continue in this way and know that we must give our best," Emery told Telecinco.
"We are very excited about this competition and - after this party – my emotion will be that I am proud of the team. They are working and they are trying to make it a good season.
"We are very happy, but we are cautious because there is still a significant way in this competition – we will be taking it step by step.”
Sevilla have not reached the semi-finals of Europe's secondary club competition since 2007, when they won it for the second successive year.
The club are also chasing a top-four finish in La Liga as they look to finish the season on a high both domestically and on the continent.
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