Rangers' Europa League adventure came to an end at the last-16 stage as Moussa Diaby's strike earned a 1-0 win for Bayer Leverkusen, completing a 4-1 aggregate victory for the Bundesliga side at the Bay Arena
The visitors had not reached the last eight since 2007/08, when they reached the final, but it was always going to prove a tough ask for the Scottish side given the 
Diaby's fine finish six minutes into the second period decided the contest while the closest Rangers came to a goal on the night fell to defender Connor Goldson, but his header was cleared off the line
Rangers' campaign started 395 days ago in Gibraltar, but their focus will now return to Scottish Premiership action on Sunday with the visit of St Mirren while Leverkusen progress to face Inter Milan in Dusseldorf on Monday
Leverkusen had not played since their defeat to Bayern Munich in the German Cup Final on July 4, while Steven Gerrard's team followed up an impressive pre-season campaign by kicking off the new domestic season with victory over Aberdeen
Rangers went into the game with a vibrancy and momentum that comes from a couple of shrewd summer signings and no doubt with a reminder that some of their best performances last season came away from home in this very competition, collecting wins at Braga and now Danish champions FC Midtjylland as well as draws at Porto and Feyenoord
Having shown themselves to be a very capable side away from home, this was very much a free hit, and Rangers showed early promising signs
 Brandon Barker and Ryan Kent were bright, with their pace troubling the Leverkusen defenders, while Goldson and Filip Helander both looked solid at the back
It took until the 17th minute for the first chance to arrive, and it came through a likely source as Kevin Volland set up Kai Havertz from Lars Bender's dinked ball into the box, and the man touted to join Chelsea this summer thundered his snap shot against the top of the crossbar
Rangers hadn't heeded the warning sign as six minutes later, Havertz was presented with an even better opportunity as he collected Exequiel Palacios' pass over the head of Helander but, with the goal at his mercy, the forward dragged his effort wide of Allan McGregor's left-hand post
Alfredo Morelos - who  by speculation surrounding his future - cut a lonely figure at times, and the visitors failed to register a single shot at goal in the opening 45 minutes as the half ended with another Leverkusen chance
Havertz, with nine goals in his previous nine games for his side, was the architect this time as his measured pass found the right foot of the shot-happy Diaby but his volley failed to trouble McGregor
That was Diaby's fourth attempt during a lively first half but he made amends for his previous misses to give Leverkusen clear daylight six minutes into the restart
 Charles Aranguiz spotted the winger's well-timed inside run and once clear of Helander, the rising shot was too much for McGregor to prevent from finding the roof of the net
Rangers were by now on the ropes, and the hosts very nearly extended their lead when Havertz again found himself one-on-one with McGregor, but this time his strike was too close to the Rangers stopper, who kept out the effort with his feet
Gerrard began to ring the changes to freshen up his tiring side in the sweltering heat, but it was two of his starters who nearly combined for an equaliser as Goldson rose to meet Borna Barisic's free-kick, but the impressive Edmond Tapsoba was back to clear off the line as Rangers finally waved goodbye to last season
Rangers boss  "We've come a long way in the last two years
 We failed to get past some part-timers (Progres Neiderkorn) two seasons ago - now we're competing in the last 16
"We're disappointed with the result
 I don't think we found our level of performance that would have allowed us to give it a good go
 There's a lot we can improve on
 We've found a level tonight to strive for
 Hopefully one day we can get to that level
"The run has been amazing, the players have given me everything
 At times we've punched above our weight
 But I'll keep pushing the players to improve
""I think the truth is that nobody expected Rangers to progress tonight and they gave a reasonably competent performance but it was a tie too far
"They replaced Sven Bender with Jonathan Tah - a nine-cap German international from the bench to show the calibre of player they have at their disposal
"Crucially, this run will help Scotland's co-efficiency
 We're now up to ranked 14th which is really beneficial for the country
"There was no redemption in the Rhineland as Rangers' Europa League campaign came to an end and Peter Bosz' impressive Bundesliga outfit will now march into Monday's quarter-final shootout with Inter Milan
They will hope Diaby brings the same level of performance to Germany
 His early second-half strike sealed this 4-1 aggregate triumph - the French Under-21 ace expertly took Aranguiz's pass on his chest and his feet did the rest, rifling into McGregor's net
The format of the final stages of the competition has been amended with the quarter-finals, semi-finals and final all now set to be held in North Rhine-Westphalia, Germany
Bayer Leverkusen will face Inter Milan in a one-legged tie at Merkur Spiel-Arena in Dusseldorf on Monday
 Rangers return to Scottish Premiership action this Sunday, hosting St Mirren at 3pm
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