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.
The Portuguese can expect a hostile reception in Valencia, who had to suffer 15 of his goals for Real Madrid and are returning to the Champions League for the first time in three years.
Livepool striker and Dembele close in on Camp Nou move
Barcelona need to avoid getting sucked into the Spanish obsession with El Clasico when they face Ajax Amsterdam in the Champions League on Tuesday.
Paris St Germain will look at playing Champions League home matches in another country after the French government on Tuesday decided to end the 2019-20 domestic season, the Ligue 1 club's president Nasser Al-Khelaifi said on Tuesday.
'We won at Tottenham away, Chelsea away, then Arsenal in the FA Cup, now this game today. What else does he have to do?'
UEFA president Aleksander Ceferin said he expected matches to be played without fans, although there was a small chance that could change.
Inter Milan got a crucial 1-0 win at Juventus on Sunday
Angel Di Maria volleyed in with 15 minutes left to give Paris Saint-Germain a 1-0 win at Stade Rennais on Friday and extend their lead at the top of the Ligue 1 table to 10 points.
Photos from matches played in the French Ligue 1 and Serie A matches played on Saturday
Argentina's World Cup winning captain Lionel Messi was named the Laureus Sportsman of the Year, while sprint champion Shelly-Ann Fraser-Pryce bagged the top women's honour.
Paris St Germain and Brazil forward Neymar has been ordered to pay his former club Barcelona 6.7 million euros ($7.51 million) after losing a lawsuit over an unpaid bonus, the Spanish champions said in a statement on Friday. Neymar moved from Barca to PSG for a world record fee of 222 million euros in 2017 but took the La Liga side to court over the terms of the last contract he signed with them a year earlier, claiming he was entitled to 43.6 million euros.
The clinical Argentine Messi now has 11 goals in his last five games in all competitions and with record signing Ousmane Dembele injured and Luis Suarez rested, he put on a sensational show at Camp Nou to extend Barcelona's La Liga lead.
Manager Carlo Ancelotti said striker Kylian Mbappe's decision to snub Real Madrid and stay at Paris St Germain was not a distraction ahead of Saturday's Champions League final
Paris St Germain collected their first trophy of the season when Edinson Cavani's double secured a 2-1 victory against Olympique Lyon in the French League Cup final on Saturday.
Cristiano Ronaldo scored a perfect hat-trick inside 32 minutes as Juventus bounced back from their midweek Champions League exit by beating Cagliari 3-1 away in Serie A on Sunday.
Manchester United striker Zlatan Ibrahimovic is relishing his time at the Premier League club and is in talks to extend his contract, saying he "never leaves a job unfinished".
The PSG frontline is already formidable, with Messi's former Barca team mate Neymar and young France striker Kylian Mbappe seen as two of the best players on the planet.
Luis Suarez said Barcelona have not given up on the Champions League despite a "difficult and painful" 4-0 drubbing by Paris St Germain in their last 16 tie this week.
The former Real Madrid wide midfielder, whose 59.7 million pounds ($93.28 million) transfer a year ago set a British record, is preparing to join the French champions for a considerably lower fee, according to media reports.
The two-legged ties will be played from February 16.
Neymar becomes goodwill ambassador for world's disabled
Real Madrid's Karim Benzema, who won the 2022 Ballon d'Or award, is also in the shortlist.
'If there is a possibility, I would like to contribute again because it's the club that I love and I would love for it to continue doing well, to continue growing and to continue being one of the best in the world.'
He is scheduled to testify on Friday.
Barcelona thrashed Real Betis 5-1 on Wednesday to book their spot in the Copa del Rey quarter-finals.
Jude Bellingham converted a penalty and Kylian Mbappe added another goal before halftime to spur Real Madrid to a 2-0 victory over Getafe.
Chelsea confirmed on its website that they had parted company with the German coach
Images from football matches held across Europe on Saturday
Liverpool's Brazil midfielder Philippe Coutinho is on the verge of signing for La Liga leaders Barcelona in a club-record deal, according to Spanish media reports.
Manchester United manager Jose Mourinho has no concerns over striker Zlatan Ibrahimovic's barren spell as he expects the Swede's 'brilliant' attitude to soon be rewarded with goals.
He can be called a flawed human but definitely a great player. That's Luis Suarez for you.
Paris St Germain reduced Olympique Lyonnais' Ligue 1 lead to one point after Ezequiel Lavezzi's first-half strike earned the champions a 1-0 home win over Stade Rennes on Friday.
The flying wingback is one of the key players in the north African outfit whose last-16 match in the Qatar World Cup against Spain, at the Education City Stadium in Al Rayyan, gives them a chance to reach the World Cup quarter-finals for the first time.
Zlatan Ibrahimovic's international career did not end in a blaze of glory at the European Championship but the striker said he was proud to have represented Sweden at the tournament.
Prosecutors sue Barcelona for allegedly buying refereeing favours
IMAGES from the FIFA World Cup Group C match played between Argentina and Poland on Wednesday.
Barcelona are suing Neymar for 8.5 million euros for alleged breach of contract and demanding he return the loyalty bonus paid after he renewed his deal in October, less than a year before he signed for Paris St. Germain, the club said Tuesday.
Ferran Torres scored a brace and Ousmane Dembele made two assists as a red-hot Barcelona rolled over Osasuna 4-0 on Sunday to earn their fourth consecutive LaLiga win.
IMAGES from the UEFA Champions League matches played on Tuesday.
