Former European Cup winners had mixed fortunes in Champions League qualifying as Ajax Amsterdam and Red Star Belgrade squeezed into the playoff round while Celtic and Porto were eliminated after a dramatic evening on Tuesday.
Ajax, semifinalists last season, came from behind to beat PAOK 3-2 for a 5-4 aggregate win over the Greeks while Red Star knocked out FC Copenhagen on penalties after a bizarre shootout involving 22 spot kicks.
Krasnodar sprung a major upset with a 3-2 win at Porto to advance on away goals after losing the home leg 1-0 and Romania's Cluj won 4-3 at Celtic to eliminate the Scottish champions 5-4 on aggregate.
PAOK keeper Alexandros Paschalakis pulled off a string of superb saves but was undone by a Nicolas Tagliafico header and another Tadic penalty before Biseswar set up a tense finish with a stoppage-time effort.
Ghanaian forward Richmond Boakye fired Red Star ahead in Copenhagen and Dame N'Doye levelled to force the shootout in which the Danish champions missed two chances to progress before they were dumped out by visiting keeper Milan Borjan.
Borjan kept Red Star afloat with two stops and netted a spot-kick himself before he sent the away fans into raptures when he blocked Jonas Wind's weak effort to send the Serbians through.
Having earned a 1-1 draw in Romania, Celtic rallied from an early deficit to lead 3-2 before a late collapse gifted Cluj two late goals and a 5-4 aggregate win over the 1967 European champions.
Porto fell 3-0 behind to Krasnodar in a dire first half for the Portuguese side as Magomed Suleymanov struck twice after Tonny Vilhena had levelled the tie on aggregate.
Dynamo Kiev looked like overturning a 1-0 first-leg deficit against Club Brugge after Vitaliy Buyalskiy netted early on but the Belgian side hit back.
Stoppage-time substitute Lois Openda silenced the home crowd in Kiev barely a minute after coming on, scoring in the 96th minute to secure a 3-3 draw and book Brugge a playoff clash with Austrians LASK.
Rosenborg beat Maribor 3-1 for a 6-2 overall win over the Slovenians, APOEL won 2-0 at Qarabag to overturn a 2-1 home defeat and Olympiakos beat Istanbul Basaksehir 2-0 for a 3-0 aggregate triumph over the Turkish side.