Anzhi Makhachkala eased into the third qualifying round for the Europa League as they saw off Hungarian side Honved 5-0 on aggregate.
UEFA Europa League: Honved 0-4 Anzhi
Anzhi had to settle for a 1-0 in the first leg in Russia, but any doubts that Guus Hiddink's men could suffer a shock exit dissipated quickly as captain Samuel Eto'o fired them ahead on seven minutes.
Ivorian striker Lacina Traore then made it 2-0 in the 53rd minute, and winger Oleg Shatov made it three a quarter of an hour later before Eto'o sealed the rout with nine minutes to spare.
FC Twente bounced back from last week's disappointing 1-1 draw at home to Inter Turku to win 5-0 in Finland.
Inter's Dutch coach Job Dragtsma had said that "on our best day we can give them a game" ahead of the second leg, but Steve McClaren's men were two goals ahead inside seven minutes, with Leroy Fer and then Glynor Plet putting them in control.
Fer then made it 3-0 before the break, and a late brace from Nacer Chadli sealed a 6-1 aggregate victory.
Nine-man Rosenborg survived a series of scares to defeat Kazakhstani side Ordabasy Shymkent 4-3 on aggregate.
After a 2-2 draw in Norway, Rosenborg found themselves a goal down at the break after Senegalese striker Mansour Gueye, though they levelled through Daniel Fredheim Holm on 67 minutes.
Rosenborg were still trailing on away goals, and their hopes of progress took a major blow with little over ten minutes to spare when Simen Wangberg was sent off and Ordabasy earned a penalty, but Artem Kasyanov spurned the opportunity.
Rosenborg then had Rade Prica dismissed late on when he received a second yellow card but, in the 94th minute, Borek Dockal scored to take the Norwegians through.
Belarusian team Gomel have booked a date with Liverpool despite going down to a 1-0 home defeat to FK Renova of Macedonia, with their 2-0 away victory last week enough to see them though.
St Johnstone's hopes of setting up a tie with Marseille are over after they failed to overturn a 2-0 first-leg deficit at home to Eskisehirspor. The SPL club were held 1-1 at McDiarmid Park, losing 3-1 on aggregate.
The European hopes of Sligo Rovers are over after they suffered a 4-2 aggregate loss to Spartak Trnava. Portadown also exit the competition, paying the price for their 6-0 first-leg defeat as they went down 10-2 over the two legs to Slaven Belupo Koprivnica.
St Patrick's Athletic are through to the next round of qualifying after they beat NK Siroki 3-2 on aggregate after extra-time. St Pat's will now face Hannover in a two-legged tie.