Jude Bellingham converted a penalty and Kylian Mbappe added another goal before halftime to spur Real Madrid to a 2-0 victory over Getafe.
Barcelona's Ferran Torres scored twice to help secure a late 4-2 comeback win at Atletico Madrid in a pulsating LaLiga clash on Sunday.
Barcelona joined Real Madrid, Atletico and Real Sociedad in the semi-finals, with the draw set to take place on Wednesday.
All the action from La Liga and Serie A matches played on Sunday.
Lazio have appealed against a one-match stadium ban imposed for misbehaviour, including racist abuse, by their fans during a UEFA Cup match last month.
Lewandowski strike gives Barcelona 1-0 win over Alaves
RB Leipzig scored twice in the opening 13 minutes but had to survive a late comeback from Manchester United to cling on to a 3-2 win on Tuesday that sent them into the Champions League knockout stage and eliminated the English side.
Lazio took another bite out of Juventus's lead at the top of Serie A when they beat Atalanta 2-0 on Sunday after Sergio Floccari appeared to use his hand before scoring the opening goal.
A round-up of Saturday's matches in Ligue 1, Serie A and Bundesliga.
A round-up of Saturday's action in LaLiga, Ligue 1 and Serie A
Real Madrid's La Liga title bid took a dent after Zinedine Zidane's leaders were held to a 2-2 draw at home to Celta Vigo on Sunday, denied all three points by a late strike from Santi Mina. Lazio mounted a superb second-half comeback at the Olympic Stadium to beat Inter Milan 2-1 and move above Antonio Conte's side into second place in Serie A on Sunday.
Lazio won the Italian Cup for the fourth time with a 2-2 draw against Juventus in the second leg to secure a 4-2 aggregate victory.
Defender Marco Cassetti slammed in 11 minutes from time to give AS Roma a 1-0 win over Lazio on Sunday in a derby held up by fans throwing firecrackers.
News of all that's transpired on and off the football field
Lazio beat Sampdoria 6-5 on penalties to lift the Italian Cup after Wednesday's final at the Stadio Olimpico finished 1-1 following extra-time.
Former Inter Milan striker Julio Cruz has joined Lazio and has been included in their squad to face his previous side in the Italian Super Cup on Aug. 8, the Serie A club said in a statement on Friday.
Senad Lulic scored a late goal to give Lazio a 1-0 win at Napoli which sent them into the Coppa Italia final and added to Rafael Benitez's problems on Wednesday.
he Dutch international defender's agent Henk Van Ginkel said they had reached an agreement with Milan for a two-year contract.
Argentina host Chile at the Monumental stadium in Buenos Aires on September 5 before facing Colombia five days later in Barranquilla.
Mbappe struck in the 74th minute to put PSG on 80 points from 29 games and on the brink of retaining the title with second-placed Lille, who beat Nantes 3-2 away earlier on Sunday, still 20 points behind having played a game more.
His agent Bo Gustavsson told Reuters he had passed away Monday morning.
Forward Rasmus Hojlund scored twice to allow Manchester United to come back from a goal down and get a 2-1 win at six-times Czech champions Viktoria Plzen in the Europa League on Thursday.
Surprise pacesetters Sampdoria failed to rejoin Inter Milan at the top of Serie A after being denied a late penalty shout in a 1-1 draw at Lazio on Sunday.
Lazio have been handed a suspended one-game stadium ban by UEFA following anti-semitic chanting by home fans in a Europa League game against Tottenham Hotspur in November, Italian media reported on Friday.
Ajax Amsterdam registered a 4-1 win at De Graafschap, their first title since 2014 and a record-extending 34th overall completed the double after they won the KNVB Cup earlier this month.
An Italian court sentenced Lazio president Claudio Lotito to two years in prison on Tuesday for stock-market rigging and failing to disclose the extent of his shareholding in the club.
Italian Serie A clubs Lazio and Genoa, lower league side Lecce and eight players have been referred to a disciplinary tribunal over allegations of match-fixing in the 2010/11 season, the Italian football federation (FIGC) said on Wednesday.
AS Roma qualified for the Champions League group stage in the best possible style on Monday, booking their place with a last-gasp 2-1 win over neighbours and bitter rivals Lazio in a passionate Rome derby.
Inter Milan stayed three points clear at the top of Serie A after a 3-0 home win over Lazio.
IMAGES from the Europa League matches played on Thursday
Fourth-placed Lazio missed the chance to keep pace with leaders Juventus when they were held to a 0-0 draw at struggling Bologna in Serie A on Monday and are now eight points off top spot.
The three team were relegated to Serie B after being found guilty of influencing match officials during the 2004/05 Serie A season.
Juventus defeated second-placed Lazio 2-0 at home on Saturday to take another huge step towards their fourth straight Serie A title and boost their confidence for Wednesday's crunch Champions League clash in Monaco.
In other European football action Real Madrid were left frustrated after a goalless draw against Athletic Bilbao in their La Liga match on Sunday.
IMAGES from the Europa League matches played on Thursday
Sergio Floccari struck deep into stoppage time to send Lazio into the Italian Cup final after a 2-1 second-leg win on Tuesday as Juventus saw their hopes of a domestic double destroyed.
Eriksson, known in Sweden simply as "Svennis", led England to the 2002 and 2006 World Cup quarter-finals, and to the 2004 European Championship, managing a golden generation of players that besides Beckham included stars such as Frank Lampard, Wayne Rooney and Steven Gerrard.
Napoli's Manolo Gabbiadini netted a precious second-half equaliser to earn a 1-1 away draw at Lazio in the first leg of their Italian Cup semi-final on Wednesday.
Lazio say they have been ordered to play their next two home games in European competition behind closed doors after their fans were again found guilty of racist behaviour by UEFA.