PSV Eindhoven beat Lille 3-1 to progress from a meeting of Dutch and French league leaders while Russian pair Zenit St Petersburg and Spartak Moscow overcame Swiss opposition in frigid conditions.
Dynamo Kiev, who beat Besiktas 4-0 with Andriy Shevchenko among the scorers for an emphatic 8-1 aggregate scoreline.
Braga, who beat Lech Poznan 2-0 for a 2-1 aggregate win, in the next round.
Serb Miralem Sulejmani scored two early goals as four-times European champions Ajax completed a 5-0 win over their Belgian opponents and former UEFA Cup winners Anderlecht.
Benfica's Eduardo Salvio and Oscar Cardozo, two members of their South American contingent, completed a 4-1 aggregate win for former European champions Benfica over Stuttgart.
The Portuguese will next play Paris St Germain after the French side went through on away goals against BATE Borisov.
Pierre-Alain Frau gave Lille a half-time lead at PSV but Balasz Dzsudzsak, Jeremain Lens and Marcelo replied for the Dutch in an 18-minute spell as they won 5-3 on aggregate.
Russian champions and 2008 UEFA Cup winners Zenit St Petersburg came back from the brink of elimination to beat Young Boys Berne 3-1 and 4-3 on aggregate.
Ammar Jemal gave the Swiss the lead in a game which kicked off in a temperature of minus 9 Celsius, slightly warmer than predicted earlier this week.
Spartak Moscow drew 1-1 at home to FC Basel in even colder conditions - around minus 15 - to go through 4-3 on aggregate and earn a tie against Ajax.
With CSKA Moscow qualifying on Wednesday for a last 16 tie with Porto, compatriots Rubin Kazan, who squandered a 2-0 lead at Twente Enschede to draw 2-2 and lose 4-2 on aggregate, were the only Russian side to go out.
Twente will play Zenit in the next round.
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