Valencia forward Carlos Soler scored a hat-trick of penalties as his side beat La Liga champions Real Madrid 4-1 at home in an extraordinary match on Sunday.
Belgium make Wales wait after Hazard's strike, while Czechs beat Latvia to qualify
Tottenham Hotspur gained a slender advantage in their League Cup semi-final against London rivals Chelsea as Harry Kane's penalty earned them a gritty 1-0 first-leg win.
Runaway Premier League leaders Manchester City beat champions Chelsea 1-0 at the Etihad Stadium on Sunday to extend their lead to 18 points and leave the London side further adrift from the Champions League qualification spots.
As the tournament gets to the next round here's look at the quarter-finalists.
Germany defender Nico Schulz scored a late winner as their new-look side snatched a 3-2 win away to the Netherlands in their opening Euro 2020 Group C qualifier on Sunday, an absorbing clash that swung in fortunes from one side to the other.
The second-half strike gave Belgium a 1-0 win that saw them move into the second round as Group G winners over England, though victory means they face much the tougher half of the draw.
Chelsea plucked a performance straight from the Jose Mourinho textbook -- with John Terry writing a chapter all of his own -- as they grafted to a 0-0 draw at Arsenal on Sunday that leaves them almost certain to claim the title.
Real and Barca have won the title in 15 of the last 16 seasons, with Atletico breaking the duopoly in 2014.
The win took second-placed Real to 62 points after 29 games, two behind champions Barca who beat Leganes 2-0 on Tuesday.
Manchester United cemented third spot and moved four points clear of neighbours Manchester City.
Diego Costa scored twice but could not prevent Chelsea losing their 100 percent Premier League record in a controversial 2-2 draw at Swansea on Sunday.
The 2022 Qatar World Cup has produced some very odd results, which is why it's been so much fun.
Chelsea are brimming with confidence and, fortified by a seven-day break, go into Wednesday's Champions League last-16 return match as favourites to knock Paris St Germain out for the second season in a row.
Images from La Liga matches played on Saturday.
A compelling cast of players, two attacking teams propelled by great pace and a clash between neighbours to boot.
ManchesterCity moved up to third in the Premier League on Saturday while Newcastle United boosted their hopes of survival by coming back from two goals down at Liverpool to draw 2-2 and secure a precious point.
Belgium passed a test of character with a display of true grit that bodes well for a World Cup quarter-final against Brazil, coach Roberto Martinez said after they came from 2-0 behind to beat Japan 3-2 in injury time.
Chelsea moved within three points of clinching the Premier League title with a 3-0 victory that condemned Middlesbrough to relegation on Monday after goals from Spaniards Diego Costa and Marcos Alonso plus a tap-in by Nemanja Matic.
Following is a match by match look at the English Premier League's weekend fixtures:
Newly-acquired Spain forward Pedro highlighted his potential worth to Premier League champions Chelsea with a goal, assist and eye-catching performance in their 3-2 win at West Bromwich Albion on Sunday.
A 'winning culture' may be one of the most over used terms in modern football but Real Madrid and Carlo Ancelotti proved on Saturday, at Liverpool's expense, that there truly is meaning and value in the concept.
Last season's FA Cup runners-up Chelsea struck four times before the break to crush second-tier Hull City 4-0 and stroll into the quarter-finals at Stamford Bridge on Friday.
Hazard extra-time goal sends 10-man Real Madrid through to Copa del Rey final.
Premier League leaders Chelsea moved 10 points clear at the top on Sunday despite being held by Burnley in an entertaining game played amid flurries of sleet and snow.
Manchester United have agreed a deal to sign Spain playmaker Juan Mata from Premier League rivals Chelsea.
Danny Rose scored a second-half equaliser to cancel out James Milner's penalty as Tottenham Hotspur came from behind to draw 1-1 with Liverpool at White Hart Lane on Saturday.
Key moments in Chelsea's Premier League title-winning season.
Rampant Wales defeated Belgium 3-1 to reach the Euro 2016 semi-finals with a victory that included a sensational strike by Hal Robson-Kanu and a goal for captain Ashley Williams on Friday.
The draw pushed Chelsea up a place into fourth spot in the Premier League, level on points with third-placed Spurs and one point ahead of Arsenal, both of whom have a played a game less.
Bosnia captain Edin Dzeko struck a hat-trick to kick-start their Euro 2016 qualifying campaign as they beat no-hopers Andorra 3-0 in a one-sided Group B match in Andorra La Vella on Saturday.
Real Madrid swatted aside Granada 4-1 on Thursday to ensure the La Liga title race will go down to the wire.
Jose Mourinho believes football is only about winning and that managers who favour a possession-dominated beautiful game and neglect steely defence and lethal counter-attacking are "stupid".
Antonio Valencia's early thunderbolt put Manchester United en route to a 4-0 Premier League victory over Everton on Sunday, but they needed a flurry of late goals to finally subdue their unfortunate visitors.
Belgium went through to the last-16 at Euro 2016 on Wednesday when Radja Nainggolan's late strike gave them a 1-0 win over Sweden, who were knocked out after scoring only once in three games.
Jose Mourinho was purring like a cat that had devoured the leftovers from Christmas dinner but it did not stop him showing his professional claws after his Chelsea side eased past West Ham United 2-0 on Friday.
If, as former British Prime Minister Harold Wilson once said, a week is a long time in politics, four and a half months in football clearly represents an eternity.
Chelsea went second in the Premier League with a comfortable 4-0 win at Burnley, on Sunday, which maintained their unbeaten start to the season.
Arsenal goalkeeper Petr Cech has made a surprise return to Chelsea's training ground ahead of Sunday's big London derby after Adidas sent a consignment of gloves to his former club by mistake. Chelsea manager Guus Hiddink, whose misfiring champions travel to Cech's Premier League leaders on Sunday, made light of the situation at a news conference on Friday. "I was here when Petr showed up. It was nice to see him," the Dutchman told reporters at the Cobham facility to the south-west of London. "We had a chat here. Almost everyone was gone already, it was late afternoon....we tried to hide them, which he did not accept. Also we tried to make them a little bit slippery but he discovered that also. "They were wrongly sent here and we gave them back. It was nice. That's the story."
Liverpool had been the better side for great swathes of the Premier League encounter at Stamford Bridge, but a combination of poor finishing and resilient Chelsea defending meant they entered the dying minutes trailing 1-0 to Eden Hazard's superb finish.