Liverpool squandered the chance to end an 11-year European drought as defending champions Sevilla came from behind to secure an unprecedented third successive Europa League title with a 3-1 win in Basle.
Daniel Sturridge's exquisite first half goal would have been worthy of winning any UEFA showpiece but Jurgen Klopp's side failed to capitalise and went to pieces in the second half.
Kevin Gameiro scored just seconds after the interval as the Reds were exposed defensively before Coke grabbed two in the space of six minutes to end Liverpool's dream of a return to the gloried European nights of yesteryear and also a place in next season's Champions League.
In the build-up Liverpool's players were at pains to stress how much belief Klopp has given them during his seven months in charge and how they had learned from the experience of losing February's Capital One Cup to Manchester City.
But having taken the lead with Sturridge's sixth goal in his last nine starts they failed to get the job done as a more streetwise Sevilla made it five wins in this competition in the last 11 years.
It was not quite Istanbul - the scene of their last trophy at this level with a remarkable Champions League victory over AC Milan - in reverse for Liverpool but the defeat was a devastating blow for over 22,000-plus fans who made it into St Jakob-Park - despite a 12,000 ticket allocation.
That caused its own issue with a minor scuffle between unsegregated rival fans in the Sevilla end but it was nothing compared to the pain felt on and off the pitch by those in red.
Liverpool had three penalty shouts in the first half which began withstanding some early Sevilla pressure before settling their nerves to control the last 20 minutes.
Roberto Firmino's flick past Daniel Carrico hit the arm of the centre-back but Swedish referee Jonas Eriksson ignored appeals.
The two claims against Adil Rami and Grzegorz Krychowiak were not as strong but highlighted Liverpool's increased dominance in the final third.
Emre Can had a shot palmed away by David Soria but it was Sturridge who was involved in their most threatening moments, directing a far-post header back across goal and then having a shot blocked by the goalkeeper from Adam Lallana's reverse pass.
Ten minutes from the break Brazilians Firmino and Philippe Coutinho, who had an otherwise quiet half, combined to tee up Sturridge on the left of the penalty area.
The angles looked wrong for the predominantly left-footed England striker but he caressed a sumptuous shot with the outside of his stronger foot which arced around Soria and inside the far post.
Sturridge nearly turned in another cross from the tireless right-back Nathaniel Clyne before the break but the sight of Klopp sprinting to the dressing room suggested he knew there was still plenty of work to do - especially if Gameiro's overhead kick just wide of the post from a corner was any indicator of the level of threat from the Sevilla striker.
The Frenchman needed just 18 seconds from the second half kick-off to prove that point as Mariano Ferreira exposed Liverpool's left side and Gameiro diverted home from close range and only Kolo Toure's perfectly-timed tackle prevented him making it 2-1 seconds later.
Only Gameiro's mis-hit shot gave Simon Mignolet a chance to save after Alberto Moreno switched off at a throw-in as Liverpool found themselves under the cosh and their resistance was broken by a rapid interchange of passes which saw Coke fire home in the 64th minute.
The midfielder repeated the feat six minutes later somewhat controversially as the linesman flagged offside but Eriksson told him to put his flag down as the pass has come off a Liverpool player.
Klopp threw on strikers Divock Origi and Christian Benteke, switching to three at the back, in a desperate attempt to effect a miraculous comeback to match that over Borussia Dortmund in the quarter-final second leg at Anfield but this time his magic touch failed to deliver.
TWEET OF THE MATCH
"Where is the team from first half???? Seen it to many times. Turning up for 2 half a totally different team! Come on reds!! We can turn this" - Former Liverpool left-back John Arne Riise (@JARiiseOfficial) was unhappy with the second-half showing.
Simon Mignolet: 7/10
Nathaniel Clyne: 6
Dejan Lovren: 5
Kolo Toure: 8
Alberto Moreno: 3
James Milner: 6
Emre Can: 7
Adam Lallana (off for Allen, 72): 5
Roberto Firmino (off for Origi, 69): 6
Philippe Coutinho: Played a key role in setting up Sturridge's superb opener, but otherwise was almost entirely absent from the proceedings. 5
Daniel Sturridge: Emphatically vindicated his selection with his stunning 35th-minute opener. Craved chances all night long, but was given precious few openings by his team-mates. 8
Divock Origi (for Firmino, 69): 6
Joe Allen (for Lallana, 72): 6
Kevin Gameiro. Sevilla's captain Coke may have scored twice but their French striker proved a real handful, especially in the second half, and could have easily have had a hat-trick.
MOMENT OF THE MATCH
Gameiro's equalising goal just 18 seconds after the break. It completely knocked the stuffing out of a Liverpool side which had been buoyant in the opening 45 minutes and they played like they were shell-shocked afterwards.
VIEW FROM THE BENCH
Jurgen Klopp went with his strongest line-up and Daniel Sturridge delivered with a goal of pure class but they could not capitalise on the pressure. While the manager cannot be blamed for his players switching off for the equaliser he should probably have tried to change things while the tide was turning against them after the break. Most of Unai Emery's streetwise side have trodden this path three times now and it showed as they used their experience to remain patient and strike at opportune moments.
MOAN OF THE MATCH
Referee Jonas Eriksson seemed inconsistent in his decision-making, particularly in the first half, by allowing some fouls to ride and others not, there was probably at least one handball he could have given and the Sevilla's third goal was just messy.
Klopp hopes his side can learn from their disappointing defeat.
He told BT Sport: "We started off really well, we scored a wonderful goal, had our chances, had a disallowed goal.
"The second half is not about the first goal it's about not concentrating enough for the second goal.
"We did not defend well and were nervous and that shows our development is not as good as we hoped but we will use this experience to be stronger and I am sure we will be stronger if we use it in the right way, but for tonight it is disappointment and frustration.
"Tonight we couldn't reach the level and it is my job to help the boys use these opportunities. I am responsible for this performance too, so no criticism for my players tonight."
Liverpool skipper James Milner knew the second-half performance was not good enough.
"I am devastated at losing the game but I think the most disappointing thing is in the second half we didn't show what we are about, we played nowhere near our abilities, that's the biggest thing for me.
"We were ready, we made sure we wanted to do the right things, everyone was switched on, we just didn't show it. We have come out and given a sloppy goal away in the first few seconds of the second half and never really got back in the game after that."