Villarreal boss Unai Emery came back to haunt Arsenal as the Spanish side held out for a 0-0 draw at the Emirates on Thursday to set up a Europa League final against Manchester United with a 2-1 victory on aggregate.
Defeat means the Gunners will miss out on Champions League football for a fifth consecutive season with the pressure building on Emery's successor Mikel Arteta.
Sitting ninth in the Premier League, Arsenal are now on the verge of failing to qualify for European football for the first time in 26 years.
"We are devastated," said Arteta.
"We tried everything until the last minute. I think we deserved to win the game but the details define these ties."
Pierre-Emerick Aubameyang twice hit the post for Arsenal, while Emile Smith Rowe sliced a glorious chance wide early in the second-half.
"We had three big chances, they didn't have anything but they are through," added Arteta, who was forced into a last minute reshuffle when Granit Xhaka picked up an injury in the warm-up.
"So many things happened to us, and so many players were just trying to compete not at their best."
Villarreal's first European final prevented a clean sweep for Premier League sides across the Champions League and Europa League.
The Yellow Submarine will take on United in Gdansk on May 26, three days before Manchester City face Chelsea in the Champions League final on May 29.
That clash will be Emery's fifth Europa League final, having won the competition three times with Sevilla and taking Arsenal to the final in his only full season in charge at the Emirates.
The Spaniard was sacked after just 18 months as Arsene Wenger's successor, but again showed his experience at this level by guiding his side through despite vastly inferior resources to his former club.
"I'm very proud because we know it is very important for us and Arsenal are a very good team," said Emery.
"Today we are thinking to enjoy this moment and then we prepare the match against Manchester United.
"We deserve to play this final and we will show our best performance. We want to fight against Manchester for this title."
Dani Parejo's free-kick that dipped onto the roof of the net was Villarreal's most dangerous effort as they controlled the first-half without threatening to score the vital away goal.
It was Arsenal who came closest to scoring before the break when Aubameyang's strike with the outside of his right foot came back off the post.
Arsenal started the second period with far greater intent and wasted two huge chances to edge ahead on away goals.
Firstly, Nicolas Pepe dragged his shot wide from Kieran Tierney's inventive flick before Smith Rowe also failed to hit the target with the goal gaping as Geronimo Rulli flapped at a cross.
Aubameyang has had a difficult season since signing a bumper three-year contract in September that reportedly made him the highest paid player in the Premier League.
The Arsenal captain has only recently returned from a spell out with malaria, but was inches away from proving his worth as his header came back off the inside of the post and bounced to safety 10 minutes from time.
Arteta's decision to remove Aubameyang moments later will be questioned as the home side rarely threatened in the closing stages to end their season with a whimper.
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Bantamweight: Victor Nunes (BRA) beat Azizbek Satibaldiev (KYG). Round 1 KO
Featherweight: Izzeddin Farhan (JOR) beat Ozodbek Azimov (UZB). Round 1 rear naked choke
Middleweight: Zaakir Badat (RSA) beat Ercin Sirin (TUR). Round 1 triangle choke
Featherweight: Ali Alqaisi (JOR) beat Furkatbek Yokubov (UZB). Round 1 TKO
Featherweight: Abu Muslim Alikhanov (RUS) beat Atabek Abdimitalipov (KYG). Unanimous decision
Catchweight 74kg: Mirafzal Akhtamov (UZB) beat Marcos Costa (BRA). Split decision
Welterweight: Andre Fialho (POR) beat Sang Hoon-yu (KOR). Round 1 TKO
Lightweight: John Mitchell (IRE) beat Arbi Emiev (RUS). Round 2 RSC (deep cuts)
Middleweight: Gianni Melillo (ITA) beat Mohammed Karaki (LEB)
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Flyweight (Female): Carolina Jimenez (VEN) beat Lucrezia Ria (ITA), Round 1 rear naked choke
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Emirates Cricket Board Women’s T10
ECB Hawks v ECB Falcons
Monday, April 6, 7.30pm, Sharjah Cricket Stadium
The match will be broadcast live on the My Sports Eye Facebook page
Hawks
Coach: Chaitrali Kalgutkar
Squad: Chaya Mughal (captain), Archara Supriya, Chamani Senevirathne, Chathurika Anand, Geethika Jyothis, Indhuja Nandakumar, Kashish Loungani, Khushi Sharma, Khushi Tanwar, Rinitha Rajith, Siddhi Pagarani, Siya Gokhale, Subha Srinivasan, Suraksha Kotte, Theertha Satish
Falcons
Coach: Najeeb Amar
Squad: Kavisha Kumari (captain), Almaseera Jahangir, Annika Shivpuri, Archisha Mukherjee, Judit Cleetus, Ishani Senavirathne, Lavanya Keny, Mahika Gaur, Malavika Unnithan, Rishitha Rajith, Rithika Rajith, Samaira Dharnidharka, Shashini Kaluarachchi, Udeni Kuruppuarachchi, Vaishnave Mahesh
Tuesday's fixtures
Kyrgyzstan v Qatar, 5.45pm