Atletico Madrid completed the formalities of their Europa League last-32 tie with FC Copenhagen, winning 5-1 on aggregate as Kevin Gameiro scored in a 1-0 victory in the second leg.
Serie A leaders Napoli gave Leipzig a serious fright in Germany, but a 2-0 win was in vain as last week`s 3-1 loss proved too much to come back from.
Visiting coach Maurizio Sarri, who was given his own smoking room by Leipzig, named a strong team, and Piotr Zielinski`s first-half goal gave Napoli hope.
The fightback looked as though it would not materialise, but Lorenzo Insigne`s strike with four minutes to play set up a tense finale.
Leipzig held on to continue their debut European campaign with Napoli left to focus on defending their one-point lead over Juventus in Italy.
We were one step away from the miracle, said Napoli`s Brazilian midfielder Allan. It`s an important victory for us after the lost first leg.
There is a bit of a bitter taste in the mouth for the elimination, now we have to concentrate all our strength on the championship and have a great finale to the season.
Zenit overturned Celtic`s slender first-leg lead to go through 3-1 on aggregate, with former Chelsea defender Branislav Ivanovic scoring one and making another.
Lazio, who sit in the fourth and final Champions League spot in Serie A, thrashed FCSB 5-1 with Ciro Immobile scoring a hat-trick to brush off the surprise 1-0 first-leg defeat in Romania.
Nice were made to pay for their first-leg collapse as a 1-0 defeat at Lokomotiv Moscow saw the Russian side through 4-2 on aggregate.
Lokomotiv had come back from two goals down to win the opening game in France, and Igor Denisov grabbed the only goal of the return match in the 30th minute.
We could have achieved a much better result if we had been better in front of goal, said Nice coach Lucien Favre.
But frankly, after a 3-2 defeat on home turf, we were in a difficult position.
Last season`s semi-finalists Lyon won 1-0 at Villarreal to go through 4-1 on aggregate, while Sporting Lisbon and Viktoria Plzen also reached the last 16.
Super 6 £1m jackpot
Simply predict six correct scores to win Jeff`s £1 million. Enter your selections for free here.