Burnley are out of the Europa League, but Celtic and Rangers advanced to the group stages on Thursday night.
The Clarets drew 1-1 with Olympiakos at Turf Moor to succumb to a 4-2 aggregate defeat after last week's defeat in Greece.
Knowing a 2-0 win on the night would be enough to send them through, Sean Dyche's Clarets created some great chances in the first half but were unable to take them, with Sam Vokes sending one header wide and another over.
Ashley Barnes then struck narrowly wide, Vokes sent a curling effort against a post early in the second half and teenager Dwight McNeil brought a good save out of Andreas Gianniotis.
Olympiakos subsequently snatched a goal in the 83rd minute through Daniel Podence before substitute Matej Vydra, making his Burnley debut, replied with a close-range finish three minutes later.
While there was certainly encouragement to be taken from the performance, there will also surely be feelings of frustration on Burnley's part as their first taste of European football since 1966-67 concluded after three two-legged qualifying ties.
Celtic beat Suduva of Lithuania 3-0 for a 4-1 aggregate success and their Glasgow rivals Rangers drew 1-1 with Ufa in Russia to take their place in Friday's group stage draw.
Nine-man Gers were made to do it the hard way as they survived two red cards to progress. It appeared to be going all so smoothly for the Light Blues when Ovie Ejaria curled home a precious away goal after just 10 minutes.
But Dmitri Sysuev's equaliser gave the Russians hope before Alfredo Morelos' moment of madness put Rangers under the cosh.
The Colombian was sent off after collecting two quick-fire bookings and was followed down the tunnel by Jon Flanagan when the defender was also dismissed after the break.
But try as the hosts might, Gers refused to buckle and got the result which secured a 2-1 aggregate triumph and qualification to the main phase of a European competition for the first time since 2010.
There were some tight tussles elsewhere and some upsets.
Red Bull Leipzig needed a 90th-minute penalty from Emil Forsberg to squeeze through at the expense of Zorya, the German side winning 3-2 on the night and on aggregate.
FC Copenhagen beat Atalanta 4-3 on penalties after a goalless 210 minutes of play.
Norwegian debutants Sarpsborg lost 2-1 at Maccabi Tel Aviv but prevailed 4-3 on aggregate.
Apollon beat Basel - who reached the Champions League knockout stages last season - 1-0 in Cyprus to draw the tie 3-3 and advance on away goals.
Zenit St Petersburg, winners of the 2008 UEFA Cup, lost 2-1 at Molde, but advanced 4-3 on aggregate at the expense of the Norwegians.
Malmo beat Midtjylland 2-0 to progress 4-2 on aggregate, while Luxembourg's Dudelange claimed a 3-2 win over Cluj in Romania to go through 5-2 on aggregate.
Managerless Bordeaux beat Belgium's Gent 2-0 to seal their place in Friday's draw for the group stage, with Francois Kamano and Jimmy Briand on the scoresheet.
