Liverpool overcame an early scare and came from a goal down to claim a 3-1 win at Austria's LASK Linz.
Chelsea beat London rivals Tottenham Hotspur 1-0 on Thursday thanks to a goal by Argentina's Enzo Fernandez
The Millennium Stadium in Cardiff will host the 2017 Champions League final, UEFA general secretary Gianni Infantino said on Tuesday. The Friends Arena in Stockholm will be the venue for the 2017 Europa League final.
Images from Europa League matches played across Europe on Thursday.
Roma have taken just four points from their last five league matches, and were eliminated from the Coppa Italia last week in a 1-0 defeat to rivals Lazio.
Winning back-to-back titles for the first time since 1984 is likely to prove a rather more arduous challenge for Liverpool.
An early penalty by Alexis Mac Allister and a Darwin Nunez brace helped Liverpool to thrash Sparta Prague 5-1.
Graham Potter is in talks to replace Lopetegui, according to British media reports, and the former Chelsea and Brighton & Hove Albion manager is expected to take charge of West Ham for their FA Cup third-round game at Aston Villa on Friday.
Manchester United needed an extra-time winner from Marcus Rashford to defeat Anderlecht 2-1 at Old Trafford on Thursday and move into the last four of the Europa League with a 3-2 aggregate victory.
Antoine Griezmann and Samuel Lino scored in each half to give Atletico Madrid a 2-0 win over Lazio on Wednesday that secured them top spot in Champions League Group E, the first time since 2016 that they had reached the knockouts as group winners.
IMAGES from football matches played across Europe on Friday.
Holders Manchester City will take on RB Leipzig, Red Star Belgrade and Young Boys in Group G.
Rubin Kazan, Udinese, Bruges and AZ Alkmaar qualified for the Europa league knock-out stages on Thursday and will go into the draw for the round of 32 with big guns Manchester United and Manchester City after their Champions League elimination.
United captain Jesse Lingard fired them ahead in the 10th minute with a fizzing low shot from 20 metres before Dmitri Shomko and a Di'Shon Bernard own goal turned the match on its head shortly after half-time.
A round-up of Saturday's action the Bundesliga, Ligue 1
Sevilla conjured up a dazzling comeback to clinch a record third successive Europa League title on Wednesday, flooring Liverpool with a 3-1 victory that showed why the Spanish side have become masters of Europe's second-tier competition.
West Ham United, reduced to 10 men after defender James Tomkins was sent off in the first half, won 5-3 in a penalty shootout against Maltese Cup winners Birkirkara to scrape into the Europa League third qualifying round on Thursday.
Kiev's Olympic stadium will host the final of the 2018 Champions League, the first final of Europe's top club competition to be held in Ukraine, UEFA said on Thursday.
Shakhtar dominated possession as expected but were toothless up front and Inter opened the scoring with their first chance after 19 minutes.
Newcastle United registered a 2-0 home win over Chelsea on Sunday that moves the Magpies a step closer to Champions League football next season.
Portuguese trio Porto, Benfica and Braga reached the Europa League semi-finals in contrasting styles as Europe's second-string club competition produced another goal feast on Thursday.
It is the first time since 1989-90 that Manchester United have lost 10 of their first 22 games of the league season.
Atletico Madrid and Athletic Bilbao should serve up a Europa League final to remember on Wednesday and remind the continent that Spain is not just about Real Madrid or Barcelona.
Florian Thauvin headed in Payet's free kick after 15 minutes and Clinton Njie calmly slotted home in the 63rd to put Marseille in the driving seat against the Austrian champions.
Sevilla's Kevin Gameiro grabbed a late equaliser in a 2-2 draw at Zenit St Petersburg on Thursday to send the Europa League holders into the semi-finals after woeful goalkeeping had threatened to ruin their night.
Arsene Wenger's team look likely to return to Europe's most prestigious competition next season.
Spain may have an iron grip on Europe's club competitions but the English Premier League is the dominant power when it comes to the number of players competing at Euro 2016. Spain have won the last two European championships and La Liga clubs have claimed Europe's major club trophies, the Champions League and Europa League, for the last three seasons. Yet a quarter of the 552 players going to Euro 2016 play in the English leagues, nearly four times as many as those from La Liga, according to figures from Grosvenor Casinos.
Several records and milestones were set after Real Madrid beat Liverpool 3-1 in the Champions League final on Saturday. With the victory Real became the first team to win three straight titles in the Champions League era.
Porto's Radamel Falcao scored a hat-trick to help the newly-crowned Portuguese champions thrash Spartak Moscow 5-1 as goals flowed and South American players shone in Europa League quarter-final first leg ties on Thursday.
Barcelona have reached the semis only once since winning the Champions League in 2014-15.
With Crystal Palace dangerously close to being relegated, manager Patrick Vieira was sacked after 20 months in charge.
Five-times European champions Liverpool survived a late scare to move into the last 32 of the Europa League with a 1-0 win over Italian side Udinese on Thursday.
The three Premier League and three La Liga clubs in the last eight avoided each other, with Manchester City up against Atletico Madrid and Liverpool to face Portuguese side Benfica.
Manchester United's Rasmus Hojlund and Alejandro Garnacho ended goal droughts and Bruno Fernandes scored again to earn a 3-0 win at struggling Leicester City.
The race for Premier League places in next season's Europa League warmed up on Sunday when Aston Villa and Everton fought out a thrilling 3-3 draw and Fulham came from behind to win 3-1 at Manchester City.
Liverpool boss Juergen Klopp has said his team will be 'on fire' for the Champions League final
Runaway Premier League leaders Manchester City will play Borussia Dortmund with the winners to face either Bayern or PSG in the semi-finals.
Tottenham Hotspur trounced a sorry Inter Milan 3-0 in the Europa League on Thursday while last year's European champions Chelsea were humbled 1-0 by Steaua Bucharest after being stung by a Raul Rusescu penalty.
Romanians Astra handed West Ham United their first competitive defeat at the London Stadium as Slaven Bilic's team were beaten in the Europa League playoffs on Thursday.
Fernando Torres left Chelsea fans wondering if they would ever see the striker who once terrorised defences after another forlorn performance as they limped into the last 16 of the Europa League on Thursday.