Italy's 2006 World Cup-winning captain Fabio Cannavaro was sent off after less than half an hour for the twice European champions and three-times UEFA Cup winners, who went out despite a 3-1 first-leg lead and a second-minute goal at Craven Cottage.
Prolific World Cup-bound Spain striker David Villa scored a hat-trick for Valencia in their 4-4 draw at Werder Bremen to go through on away goals. It did not stop there as Benfica scored twice in the last 15 minutes to win 2-1 at Olympique Marseille and qualify for the quarterfinals while Anderlecht beat Hamburg SV 4-3, only to lose 6-5 on aggregate.
Liverpool, trailing 1-0 from the first leg, kept their campaign alive by beating Lille 3-0 at Anfield. Captain Steven Gerrard scored a ninth-minute penalty and Fernando Torres added two more in the second half.
David Trezeguet's early opener put Juventus ahead against Fulham Craven Cottage but Bobby Zamora replied quickly and the Italians unravelled after Cannavaro was harshly dismissed for bringing down Zoltan Gera.
Gera scored either side of halftime before a brilliant chip by substitute Clint Dempsey seven minutes from time sent the London side into their first European quarterfinal with a 5-4 aggregate win that ended Juve's hopes of silverware this season.
Valencia, held 1-1 at home by Bremen, were 2-0 ahead in 15 minutes with goals by David Villa and Juan Mata. Werder managed 27 shots on target but every time they got on the scoresheet Villa stopped the recovery in its tracks. Hugo Almeida pulled one back for the Germans only for Villa to score again on the stroke of halftime.
Torsten Frings, with a penalty, and Marko Marin scored twice in five minutes to make it 3-3 with nearly half an hour still to play, but Villa put Valencia ahead again almost immediately.
