Four-time European champion Ajax reached the European Champions League playoff round on away goals after being held to a 3-3 tie at PAOK Thessaloniki on Wednesday.
Scotland's Glasgow Celtic was eliminated by Portugal's Braga despite winning its second leg.
Held to a 1-1 tie in Amsterdam last week, Ajax scored three times in seven minutes at the start of the second half but conceded a late equalizer in Greece.
''This was a very tough night, in a very tough atmosphere,'' Ajax coach Martin Jol said. ''We lost control of the game at various stages, but we got the three goals and PAOK had to chase for a goal and give us space - that was fortunate for us.''
Celtic, which trailed 3-0 to Braga after the first leg, was knocked out despite scoring two second-half goals to win the second leg 2-1 in the third qualifying round.
Zenit St. Petersburg joined Braga in Friday's playoff round draw after the 2008 UEFA Cup champions beat Unirea Urziceni 1-0. Copenhagen also advanced by beating BATE 3-2 after another scoreless first leg, while the same aggregate result advanced Switzerland's Young Boys after winning 1-0 at Fenerbahce.
Dynamo Kiev advanced with a 6-1 aggregate victory over Ghent, Zilina ousted Litex Lovech 4-2, Basel beat Debrecen 5-1 over the two legs, Sparta Prague produced another 1-0 win over Lech Poznan, and Rosenborg beat AIK 3-0 after winning 1-0 last week.
In Greece, Ajax fell behind in the 16th minute when Adelino Vieirinha netted with a glancing header from Olivier Sorlin's free kick.
But Luis Suarez exploited PAOK's defensive collapse early in the second half. Uruguay's World Cup star leveled in the 48th, chesting down the ball and shaking three defenders to beat PAOK goalkeeper Dario Kresic.
Two minutes later, Suarez set up Siem de Jong to make it 2-1.
''Suarez made the difference - he always wants to win,'' Jol said.
Rasmus Lindgren added the third goal on a free kick in the 55th, but Dimitris Salpigidis reduced PAOK's deficit a minute later.
Vladimir Ivic missed a penalty kick in the 77th, but made it 3-3 in stoppage time.
''The second half certainly had it all: loads of goals, great chances and a missed penalty,'' PAOK coach Pavlos Dermitzakis said. ''Unfortunately it didn't go our way. It's a shame.''
In Glasgow, Celtic was left needing to score five goals to advance after slack defending from Cha Du-ri allowed Paulo Cesar to gave Braga a 4-0 aggregate lead in the 20th.
''We keep conceding soft goals,'' Celtic manager Neil Lennon said. ''I'm learning from it and hopefully the players are learning.''
Gary Hooper, who was making his Celtic debut, and Efrain Juarez both scored for the 1967 European champions in the second half, but they wound up in the second-tier Europa League playoff round.
