Frank Lampard, Chelsea's all-time leading scorer, netted against his old club when he came on as a late substitute for Manchester City to give the champions a 1-1 draw.
Champions Real Madrid were beaten at home by promoted Cadiz, while Barcelona fell to their first defeat in La Liga under new coach Ronald Koeman as they lost to Getafe.
Real Madrid clinched a record-extending 34th La Liga title with one game to spare by beating Villarreal 2-1 at home on Thursday thanks to two goals from their leading scorer Karim Benzema. Real have 86 points after 37 games, seven more than deposed champions Barcelona who were beaten 2-1 at home to Osasuna.
Chelsea moved within two points of fourth-placed Tottenham Hotspur in the Premier League after a 1-0 victory over Liverpool thanks to an Olivier Giroud header at Stamford Bridge on Sunday.
Schalke 04 halted the Chelsea juggernaut when they drew 1-1 in their Champions League Group G opener at Stamford Bridge on Wednesday, handing a wake-up call to the London club who had won their first four games of the season.
Much-fancied Belgium fought back from a goal down to score twice in the final 20 minutes and earn a hard-fought 2-1 victory over gutsy Algeria in their World Cup Group H opener on Tuesday.
Here is a summary of stories from the English Premier League
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.
Czech Republic goalkeeper Petr Cech ended a highly successful 11-year spell at English champions Chelsea when he moved to Premier League rivals Arsenal on Monday.
A summary of Saturday's action in Serie A and La Liga.
Real Madrid forwards Marco Asensio and Karim Benzema struck to give their side a 2-0 win at home to Eibar in La Liga
France centre forward Olivier Giroud has failed to score at the World Cup in Russia but is still a vital cog in their plans for Sunday's final against Croatia in Moscow.
Didier Deschamps is confident he has prepared his players for any tactical surprises his opposite number Roberto Martinez might spring
Sergio Aguero was acclaimed as "the best striker in the Premier League" by manager Manuel Pellegrini after his hat-trick helped Manchester City beat Chelsea 3-0 at Stamford Bridge on Saturday.
Daryl Janmaat, Gerard Deulofeu and Roberto Pereyra all scored late on in response to Eden Hazard dragging Chelsea back into the game with a curler in the 82nd minute after Tiemoue Bakayoko was sent off for a second booking on the half-hour.
Belgium coach Roberto Martinez said he was the "proudest man on earth" and lavished praise on his "underdog" team for having the belief to upset five-times champions Brazil on Friday to reach the World Cup semi-finals for only the second time.
It took a great escape in injury time to get there after being two goals down to Japan, but Belgium can now view their quarter-final against Brazil free of the weight of expectation.
Images from Saturday's action in La Liga.
Chelsea manager Jose Mourinho has joked that he might make a bid to sign Liverpool captain Steven Gerrard on loan when he leaves for the United States at the end of the season.
A summary of Thursday's matches in the English Premier League.
IMAGES from La Liga matches played on Sunday
Late Griezmann strike ends Atletico's away day hoodoo
Manchester City opened up a two-point lead over their neighbours Manchester United at the top of the English Premier League on Saturday thanks to another display of scintillating brilliance in a 7-2 thrashing of Stoke City at the Etihad Stadium.
Chelsea manager Jose Mourinho is unsure if the Premier League champions are over the worst following their poor start to the season, but he said on Friday that a win and two clean sheets in the last week had lifted everyone at the club.
Chelsea manager Jose Mourinho should have apologised to former team doctor Eva Carneiro for his criticism of her, Football Association chairman Greg Dyke has said.
A rousing 2-1 La Liga victory at Real Madrid on Saturday may suggest otherwise, but Atletico Madrid are still rebuilding after losing several key players in the close season, coach Diego Simeone said on Monday.
Out-of-sorts Chelsea have a golden opportunity to restore battered self-confidence when they face Maccabi Tel Aviv in their opening Champions League Group G match.
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.
Belgium goalkeeper Thibaut Courtois may wonder whether he even needs to turn up to face Sweden on Wednesday given his opponents' dismal attacking record at Euro 2016. The Swedes have failed to muster a single shot on target in their first two games, a statistic made all the more embarrassing by the presence of Zlatan Ibrahimovic in their attack.
'The problem with Petr is that an opponent is better than before'
Chelsea's Jose Mourinho, who hoped to celebrate his new contract with victory at an expectant Stamford Bridge, ended up grateful his team did not become the first Premier League champions to start their title defence with a defeat.
Real Madrid moved into the semi-finals of the Champions League after their makeshift defence held on for 0-0 second-leg draw with Liverpool at Anfield on Wednesday to complete a 3-1 aggregate win.
An off-key Liverpool were frustrated for a second successive game by struggling opponents as they were held to a 0-0 Premier League draw at Newcastle United on Wednesday.
A toothless and haggard Real Madrid slumped to a humiliating 10th Liga defeat of the season on Sunday as they lost 1-0 at struggling neighbours Rayo Vallecano.
Philippe Coutinho scored his first league goal since returning to Barcelona to help his side draw 1-1 at home to an excellent Sevilla side in La Liga on Sunday.
Juventus substitute Cristiano Ronaldo was denied a stoppage-time winner by VAR as Udinese came from two goals down to snatch a 2-2 draw in their thrilling Serie A season opener on Sunday.
Chelsea regained their six-point lead over Manchester City at the top of the Premier League table and took a step closer to the title thanks to a hard-fought 3-2 victory at Hull City on Sunday.
Chelsea a 1-0 win over Manchester United in a compelling Premier League clash on Sunday
All eyes will be on Manchester United manager Louis van Gaal when he takes his team to Derby County for an FA Cup fourth-round tie on Friday with the fans' boos from their home defeat by Southampton still ringing in his ears.
Antonio Conte's return to Italian football on Tuesday proved such a chastening experience as he watched his Chelsea side dismantled by AS Roma in the Champions League that he worries they could be set for a "very difficult" season.