Real Madrid forward Vinicius Jr. score twice as his side punished a sloppy Liverpool to win 3-1, while Manchester City beat Borussia Dortmund 2-1 in Tuesday's Champions League quarter-final first leg.
Diogo Jota and Joao Felix both scored their first international goals in the second half before Bruno Petkovic pulled one back and Andre Silva then added a fourth.
Real Madrid got their Champions League title defence off to a strong start on Wednesday by convincingly beating AS Roma 3-0 at home with goals from Isco, Gareth Bale and a stoppage-time strike from returning striker Mariano Diaz.
Croatia edged closer to next year's World Cup with an emphatic 4-1 home win over Greece on Thursday in the first leg of their two-legged playoff.
Eden Hazard finally scored his first goal for Real Madrid as his side beat second-placed Granada 4-2 in a highly entertaining game at the Santiago Bernabeu on Saturday to go four points clear at the top of La Liga.
Images from Europa and Champions League matches played on Wednesday.
Real Madrid dropped points for the third time in seven games since Zinedine Zidane's return as they were held to a 0-0 draw away to Getafe in La Liga on Thursday, which harmed their neighbours' hopes of a top-four finish.
Diego Costa continued his rich vein of form as he helped leaders Chelsea to a 3-0 win over Aston Villa while Louis van Gaal enjoyed only his second Premier League win as Manchester United manager following a 2-1 victory against West Ham.
The Belgian forward came off the bench to make his Real debut in Saturday's 3-2 win over Levante, having had his start to life at the club hit by a thigh injury the day before the La Liga season began.
Meanwhile, Real Mallorca made a dream return to La Liga with a 2-1 victory over Eibar at the Estadi Son Moix on Saturday, less than two months after sealing back-to-back promotions to rejoin Spain's soccer elite.
Barcelona forward Ousmane Dembele scored twice and produced a mesmerising display to fire his side to a 5-1 win over Villarreal on Wednesday which stretched the champions' unbeaten run this season to 36 games with two remaining.
Lionel Messi scored his maiden goal for Paris St Germain in Tuesday's 2-0 Champions League victory against Manchester City.
Cristiano Ronaldo grabbed a hat-trick and Gareth Bale became the fifth British player to score for Real Madrid at the Bernabeu in La Liga when he struck twice in an action-packed 7-3 win over Sevilla on Wednesday.
Karim Benzema netted a second-half hat-trick as Real Madrid got back to winning ways with a 3-0 victory over Athletic Bilbao in La Liga on Sunday.
Barcelona must appreciate matching the club's record of nine wins and a draw in their first 10 games of a Liga campaign, especially after Real Madrid's defeat at Girona, coach Ernesto Valverde told a news conference on Monday.
Chelsea moved within touching distance of a first Premier League title in five years with a 1-0 win over Manchester United while Lionel Messi reached a landmark with his 400th career goal for La Liga leaders Barcelona.
La Liga leaders Real Madrid suffered a surprise 1-0 defeat at mid-table Athletic Bilbao on Saturday after a bullet header from Aritz Aduriz in the first half secured the points.
Toni Kroos netted his first for Real Madrid and was hailed as the best player on the pitch by his coach as the hosts tore apart Rayo Vallecano 5-1 in La Liga on Saturday to extend their winning streak to 13 games.
Real Madrid's Cristiano Ronaldo was the scourge of AS Roma again as he inspired the hosts to a 2-0 win and a place in the Champions League quarter-finals on Tuesday, scoring and setting up a goal Rodriguez to seal a 4-0 aggregate victory.
A round-up of Wednesday's action in the UEFA Champions League.
Images from the Champions League matches played on Tuesday
Photos from the UEFA Champions League matches played across Europe on Wednesday
Wales continued their unbeaten start to the Euro 2016 campaign as a nervy 2-1 triumph over Cyprus, after they had been reduced to 10 men, bolstered the nation's dream of qualifying for a major championship finals for only the second time.
Luis Suarez scored a hat-trick and Lionel Messi bagged a brace as Barcelona thrashed bottom side Cordoba 8-0 on Saturday to move a step closer to their fifth La Liga title in seven years.
Real Madrid's star striker Cristiano Ronaldo made up for his otherwise quiet night by scoring the winner to beat Barcelona 2-1 win at the CampNou in Barcelona on Saturday.
A look at the last 16 team as Euro 2020 enters the knockout phase.
Griezmann special earns Atletico 1-1 draw at Sevilla
Jubilant fans thronged central Belgrade, bringing traffic at the main Republic Square to a halt as they waved Serbian flags and hooted their car horns.
News of all that's transpired on and off the football field
There was no farewell goal but plenty of pride and appreciation as Wayne Rooney made his 120th and final appearance for England in a 3-0 win over the United States in a friendly at Wembley on Thursday.
News of all that's transpired on and off the football field
Luka Modric pulled one back for Zinedine Zidane's shellshocked side with a brilliant strike from distance early in the second half before substitute Vinicius Jr reduced the deficit to one goal.
Alexis Sanchez had equalised for the visitors, scoring on the rebound after Manuel Neuer saved his 30th-minute penalty but the Gunners suffered when captain Laurent Koscielny limped off injured to leave the defence exposed.
Real Madrid's unbeaten start to the La Liga season came to an abrupt and surprising end as Real Mallorca claimed a stunning 1-0 victory at a rocking Son Moix on Saturday to climb out of the relegation zone.
IMAGES from La Liga matches played on Sunday
From the debate-arousing introduction of VAR to maximum number of Penalties to the superb Ronaldo, here are the A to Z of the ongoing 2018 World Cup
Javier Hernandez's late strike kept Real Madrid on course for a record-extending 11th European Cup crown with a 1-0 win over 10-man Atletico Madrid in a tense quarter-final at the Bernebau on Wednesday.
A summary of Saturday's action in Ligue 1, La Liga and Serie A.
Images from the Champions League matches played on Tuesday
Lionel Messi came off the bench to preserve Barcelona's unbeaten run in La Liga with a sensational late equaliser in a thrilling 2-2 draw at Sevilla on Saturday as the runaway leaders came back from two goals down in the space of a minute.