Unless Arsene Wenger's men pull off an incredible turnaround at the Nou Camp in three weeks' time they will once again fail to get past the first knockout hurdle in Europe's premier club competition.
Here, Press Association Sport looks at their previous struggles to reach the quarter-finals.
2011: LOST TO BARCELONA 4-3 ON AGGREGATE
Late goals from Robin van Persie and Andrei Arshavin gave Arsenal a 2-1 first-leg lead against Pep Guardiola's side but, following Van Persie's controversial sending off with the return match at the Nou Camp level at 1-1, a Lionel Messi-led Barcelona edged to a 3-1 victory and went on to win the competition, beating Manchester United in the final at Wembley.
2012: LOST TO AC MILAN 4-3 ON AGGREGATE
Wenger's men almost pulled off an amazing turnaround, but came up just short against Milan
The Serie A side ran out 4-0 winners at the San Siro, with Kevin Boateng and Zlatan Ibrahimovic goals sandwiching Robinho's double
Arsenal fought back at the Emirates as Laurent Koscielny, Tomas Rosicky and Van Persie all scored in the first half, but the Gunners could not beat Christian Abbiati for a fourth time to force extra-time
Milan lost to Barcelona in the next round.
2013: LOST TO BAYERN MUNICH ON AWAY GOALS
Another valiant fightback fell short
Lukas Podolski's goal at the Emirates appeared to count for little as Bayern eased to a 3-1 victory in London, but goals from Olivier Giroud and Koscielny put Arsenal 2-0 up in the Allianz Arena in the 86th minute
However, Bayern, who went on to beat Borussia Dortmund in the Wembley final, clung on to progress.
2014: LOST TO BAYERN MUNICH 3-1 ON AGGREGATE
Bayern again ran out winners in London
Mesut Ozil missed a penalty and Wojciech Szczesny was dismissed in the first half before Toni Kroos and Thomas Muller both scored for the second successive year at the Emirates to earn a 2-0 victory
There was little to get excited about in the return match in Munich as the game ended 1-1
This time Bayern would come unstuck against eventual champions Real Madrid in the semi-finals.
2015: LOST TO MONACO ON AWAY GOALS
See 2013, albeit against lesser opposition
Dimitar Berbatov helped the Ligue 1 club record a stunning 3-1 victory at the Emirates, before Arsenal rallied in the away leg
Giroud and Aaron Ramsey put the Gunners 2-0 up at Stade Louis II but they were denied a third which would have sent them through
Monaco lost to finalists Juventus in the last eight.
Source : PA
Source: PA