With Palace three goals to the good after the first leg, the onus was on Fiorentina to take the game to their opponents, but their already slim chances took a huge hit in the early stages.
Palace weren’t happy to rest on their laurels and stretched their aggregate lead inside the opening 20 minutes when Daniel Munoz marauded down the right and planted a perfect cross onto the head of Ismaïla Sarr, who nodded the Eagles ahead on the night.
La Viola were fortunate not to fall two behind to the same man when the visitors turned the ball over straight from kick-off and Sarr raced through on goal, but this time he saw his effort repelled by the legs of David de Gea.
The hosts were handed a lifeline midway through the first half when a clumsy challenge from Jaydee Canvot on Rolando Mandragora was punished by the awarding of a penalty.
After a lengthy break before the spot-kick was taken to allow Adam Wharton to limp off, Albert Gudmundsson sent Dean Henderson the wrong way from 12 yards to offer Fiorentina scant hope of mounting a comeback.
Another home goal prior to half-time would certainly have made the second half interesting, and Manor Solomon went close to grabbing one when his long-range drive forced Henderson to make a fine one-handed save.
It was always likely to take something special to get Fiorentina back into the game, and substitute Cher Ndour found just that within 10 minutes of the restart when his daisy-cutter from distance nestled in the bottom corner.
Paolo Vanoli’s men continued to probe as they searched for another goal, with Gudmundsson and Harrison both testing Henderson’s resolve.
However, some objectively strange substitutions from the Fiorentina boss, which saw him take off his two brightest attackers in Gudmundsson and Solomon, stunted their momentum somewhat.
Palace’s survival instincts kicked in for the closing stages, digging deep to keep Fiorentina at bay and stamp their ticket to the last four, where a clash with Shakhtar Donetsk awaits.
Even a spirited display couldn’t book Fiorentina a fourth successive appearance in the semi-finals of this competition, as they crashed out at the quarter-final stage for only the second time in their last 12 such European ties.
Flashscore Man of the Match: Rolando Mandragora (Fiorentina)
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