Twice UEFA Cup winners Sevilla, trailing 1-0 against Porto from the first leg, began the return with the momentum of a runaway train as they attacked relentlessly and took the lead after four minutes.
Carlos Bacca took a tumble in the penalty area and Ivan Rakitic dispatched the spot kick coolly into the bottom corner before Vitolo powered into the box and slid a neat low finish across the keeper in the 26th.
Three minutes later Sevilla inflicted further damage through Bacca, who was given time to turn and fire low into the net from 15 metres to make it 3-0 on the night.
The visitors were handed a lifeline when Coke was dismissed, leaving Porto almost 40 minutes to find a route back into the match.
They never posed a serious threat, however, and Sevilla increased their lead with 11 minutes to play when Kevin Gameiro added his name to the scoresheet.
The goal of the game, however, was scored by Ricardo Quaresma whose thunderbolt drive flew into the top corner but it was merely a consolation.
Last season's finalists Benfica effectively killed off Dutch opponents AZ Alkmaar when Rodrigo tapped in at the far post after 39 minutes following brilliant work by Salvio, who skipped out of one tackle and accelerated down the right before curling an inch-perfect cross into the penalty area.
The victory was wrapped up when Salvio put in another sumptuous cross from the right for Rodrigo to score his second.
The draw for the semi-finals is on Friday.
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- Carlos Bacca