After falling 2-0 down on the night, substitute Marcos Llorente struck twice in extra-time and Alvaro Morata added a late third to ensure a famous victory for Diego Simeone's side against a Liverpool team unbeaten in their last 25 home games in European competition.
A round-up of Saturday's matches in Ligue 1, Serie A and Bundesliga.
Cristiano Ronaldo set a record for goals scored in the group stage of the Champions League of 11 when he netted four against Malmo in Group A on Tuesday.
Images from Saturday's action in the English Premier League.
European Champions Spain produced a dominant display to thrash South Korea 6-1 in Salzburg, Austria on Wednesday in their penultimate friendly before Euro 2016.
Reigning champions Spain left it late but Gerard Pique's 87th-minute header earned them a deserved 1-0 victory over a dogged Czech Republic in their Euro 2016 Group D opener on Monday.
News of all that's transpired on and off the football field
IMAGES from the English Premier League matches played on Saturday.
World champion Marc Marquez underlined his dominance of MotoGP when he swept to a record-equalling 12th pole position of the season on a good day for Spain at the Australian Grand Prix on Saturday.
Five-times European champions Barca, with their trident of Lionel Messi, Luis Suarez and Neymar subdued, have not exited in the last 16 since going out to Liverpool in the 2006/07 season and the score equalled their worst Champions league loss.
Spain are still favourites to finish top of Group E above Sweden, Poland and Slovakia but, after struggling to break down conservative sides such as Georgia and Greece in March, they know coming first will not be a procession.
Manchester United captain Wayne Rooney did not have the faintest idea who Anthony Martial was when the Monaco forward was linked with a move to Old Trafford earlier this week, according to team mate Morgan Schneiderlin.
Wolfsburg shock Real Madrid 2-0 to crown big European night.
Premier League-based trio Diego Costa, Juan Mata and Santi Cazorla were among a high-profile list of absentees when Spain coach Vicente Del Bosque named his provisional 25-man squad for Euro 2016 on Tuesday. Costa injured his hamstring against Liverpool in Chelsea's penultimate game of the season. Atletico Madrid striker Fernando Torres was also absent from the squad despite his improved form towards the end of the season, as were Arsenal midfielder Cazorla and Valencia forward Paco Alcacer, Spain's top scorer in their qualifying campaign.
Images from the UEFA Champions League matches played on Tuesday night.
RB Leipzig continued their remarkable first season in the Bundesliga when they brushed aside Mainz 05 3-1, their fifth win in a row, to go level on points with leaders Bayern Munich on Sunday.
Arsenal right back Hector Bellerin will be in Spain's Euro 2016 squad, the country's football federation said on Tuesday. The 21-year-old Bellerin and the other 18 players named to face South Korea in a friendly in Wals-Siezenheim, Austria on Wednesday, have been guaranteed spots in the European Championship squad. Bellerin was included after Real Madrid right back Dani Carvajal sustained a leg muscle injury in Saturday's Champions League final victory over Atletico Madrid. The Real Madrid and Atletico players in the squad will be named later on Tuesday when Spain coach Vicente del Bosque announces his final list.
Images from Tuesday's action in the UEFA Champions League.
UEFA president Michel Platini hit out at FIFA chief Sepp Blatter on Friday, saying the Swiss has stopped serving the cause of football.
Summary of the South American World Cup qualifiers played on Thursday
Raheem Sterling struck twice as the Premier League champions Manchester City beat Crystal Palace 3-1 at Selhurst Park on Sunday to stay within two points of leaders Liverpool.
Infinite Analytics CEO Akash Bhatia and Lead Scientist Joseph Kibe reveal how AI reads Wikipedia index noise to pull out the winners.
News of all that's transpired on and off the football field
Karim Benzema scored his sixth goal in four games as Real Madrid beat Alaves 3-0 on Sunday for a fourth successive La Liga victory which took the European champions to within eight points of leaders Barcelona.
News of all that's transpired on and off the football field
'Living in Brazil, I had internalised the football mythology of that country, the way I had learnt Mahabharata stories in my childhood. The tragedy at the Maracana stadium in 1950, when a confident Brazil had lost to Uruguay in the finals. They tell the story of this debacle, this 'Hiroshima' that hit them, like the Shias lament the death of Ali. It led to the Brazilian team burning their white uniforms and switching later to Yellow and blue symbolising their national colours,' says Ambassador B S Prakash, India's former envoy to Brazil.
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.
Usain Bolt delivered. Mo Farah, Elaine Thompson, David Rudisha, three world records and a dominant United States played their part too, as athletics enjoyed being back in the limelight.
Juventus striker Gonzalo Higuain again showed his killer instinct with two expertly-taken goals in a late 3-1 win at Torino after their less illustrious neighbours had scored first and dominated the Serie A game on Sunday.
Dani Alves has blamed the media for Brazil's unsuccessful World Cup campaign but conceded that the team did not prepare properly ahead of the humiliating 7-1 defeat by Germany in the semi-final.
Spain's preparations for Euro 2016 suffered a blow as they were beaten 1-0 by Georgia on Tuesday in their final warmup friendly ahead of the tournament in France. Tornike Okriashvili tapped in from close range in the 39th minute to secure a surprise victory for Georgia at Getafe's Coliseum Alfonso Perez stadium. Spain, who have won the last two European Championships, had not lost since being beaten in a friendly by the Netherlands in March 2015 and came into their final warmup match after convincing wins against Bosnia and South Korea. The hosts, however, lacked a cutting edge against a well-organised Georgia side who defended deep after taking the lead.
A summary of Tuesday night's matches in the UEFA champions League.
News of all that's transpired on and off the football field
A round-up of Wednesday's league stage matches in the UEFA Champions League.
In Brazil it will be the Olympic moment everyone remembers.
Bahrain's Ruth Jebet blew away the competition to win the women's 3,000 metres steeplechase gold on Sunday, but narrowly missed out on the world record. Jebet ran a bold race, bursting into the lead after a few laps and setting a blistering pace to win in 8 minutes, 59.75 seconds, just shy of the 8:58.81 world record set by Russia's Gulnara Galkina at the 2008 Beijing Games.
News of all that's transpired on and off the football field.
'The World Cup is being played in the football crazy country after 64 years and nothing excites the Brazilians more than the sacred game,' says B S Prakash, India's former ambassador to Brazil.
Spain strolled to a 4-1 win at home to Israel, while Italy survived some first-half scares on the way to a 2-0 win and Ukraine registered a 1-0 home win over Ukraine in an action-packed game.
A round-up of Tuesday night's matches in the UEFA Champions League.