A last-minute VAR decision helped Barcelona secure an unconvincing 1-0 La Liga win over newly-promoted Valladolid on Saturday.
Dries Mertens came off the bench to grab the winner as Napoli rallied from 2-0 down to beat visiting AC Milan 3-2 and seize a second victory in two matches.
Mohamed Salah's 23rd-minute strike was enough to earn Liverpool a 1-0 win over a dogged Brighton and Hove Albion and give them an early top spot in the Premier League with three wins out of three.
Antoine Griezmann's second-half strike earned Atletico Madrid a first win of the Liga season on Saturday as they defeated local rivals Rayo Vallecano 1-0.
Cristiano Ronaldo missed an open goal but inadvertently provided an assist for Mario Mandzukic to score as titleholders Juventus beat Lazio 2-0 in Serie A on Saturday.
Paris Saint-Germain forward Edinson Cavani struck 12 minutes into his first match of the season while Kylian Mbappe and Neymar also scored in a 3-1 win over lowly Angers in Ligue 1 on Saturday.
Arsenal celebrated their first Premier League win of the season under new manager Unai Emery after coming from behind to beat London rivals West Ham United 3-1 in an action-packed match on Saturday.
VfL Wolfsburg's Daniel Ginczek snatched a stoppage-time winner to stun Schalke 04 2-1 on Saturday and give the Wolves a winning start to the Bundesliga campaign against last season's runners-up in a bad-tempered game.
Manchester City stumbled to a 1-1 draw at Wolves in a tense lunchtime encounter at Molineux.
Robert Lewandowski scored a penalty at the second time of asking to lift Bayern Munich to a 3-1 win over Hoffenheim to open the Bundesliga season on Friday night.
Celtic were held to a 1-1 draw by Lithuanian side Suduva Marijampole in the first leg of their Europa League play-off at the ARVI Futbolo Arena.
Former European Cup winners Ajax Amsterdam stayed firmly on course to reach the Champions League group stage after a dazzling first half helped them to a 3-1 home win over Dynamo Kiev.
Former European Cup winners PSV Eindhoven fought back to grind out a 3-2 win at BATE Borisov on Tuesday in their Champions League playoff round first-leg clash while Benfica were held to a 1-1 home draw by PAOK.
Liverpool's James Milner's converted a penalty on the stroke of halftime and Sadio Mane added a late second goal to secure a hard-fought 2-0 win at Crystal Palace in the Premier League on Monday.
Real Madrid got off to a winning start in La Liga on Sunday by comfortably beating neighbours Getafe 2-0 at home with an inspiring performance from Gareth Bale in the European champions' first league game in the post-Cristiano Ronaldo era.
Inter Milan's hopes of challenging for the Serie A title got off on the wrong foot with a shock 1-0 defeat at Sassuolo on Sunday.
Roma striker Edin Dzeko scored with a memorable volleyed goal following a mazy run by debutant Justin Kluivert to give his side a 1-0 win at Torino in their opening Serie A game on Sunday.
Manchester United conceded three first-half goals as they slumped to a 3-2 defeat at Brighton in a game illuminated by a superb goal from Seagulls striker Glenn Murray.
Sergio Aguero scored his 13th hat trick for Manchester City as the Premier League champions brushed Huddersfield aside in a 6-1 win at the Etihad Stadium.
Ciro Immobile scored a magnificent opener, but Arkadiusz Milik and Lorenzo Insigne completed the Napoli comeback to conquer Lazio.
Chelsea secured their second straight win of the season and sentenced Arsenal to a second defeat with a 3-2 win in a Stamford Bridge thriller that had seen Arsenal fight back from two goals down to level.
World Cup winner Kylian Mbappe came off the bench to score twice as French champions Paris Saint-Germain made a second-half comeback to secure a 3-1 win over Guingamp in Ligue 1 on Saturday.
Bayern Munich were embarrassed by fourth-tier Drochtersen/Assel as they only managed a 1-0 win in the German Cup on Saturday.
La Liga champions Barcelona began the new campaign with a 3-0 win over Alaves on Saturday with the help of a spectacular under-the-wall free kick from Lionel Messi, who scored twice, and a curling shot from substitute Philippe Coutinho.
Federico Bernardeschi scored in stoppage time to make Cristiano Ronaldo a winner on his Juventus debut as the Italian champions rallied to win 3-2 at Chievo Verona on Saturday.
Leicester City had Jamie Vardy sent off but it did not stop them from recording a comfortable 2-0 home victory over Wolverhampton Wanderers in the Premier League on Saturday.
Harry Kane finally ended his August goalscoring drought as England's World Cup luminaries inspired Tottenham Hotspur to a morale-boosting 3-1 Premier League win over newcomers Fulham on Saturday.
Kenedy missed a 96th-minute penalty as Cardiff secured a 0-0 draw against 10-man Newcastle in their first home game back in the Premier League.
Atletico Madrid finally got their own back on Real Madrid in European competition by snatching a 4-2 win over their city rivals after extra time to lift the UEFA Super Cup on Wednesday.
Manchester City midfielder Kevin De Bruyne is facing a spell on the sidelines after injuring his right knee in training on Wednesday.
Lorenzo Insigne's late winner gave Napoli a deserved 1-0 Champions League victory over Liverpool on Wednesday that saw the Italians move to the top of Group C.
Mauro Icardi took advantage of an error from PSV Eindhoven goalkeeper Jeroen Zoet to gift Inter Milan a 2-1 victory in their Champions League Group B clash on Wednesday.
Borussia Dortmund's blistering start to the season under manager Lucien Favre gathered momentum as the Bundesliga leaders consigned ailing Monaco to a 3-0 defeat in the Champions League on Wednesday.
Antoine Griezmann had a goal in each half -- including the 8,000th Champions League goal -- and Koke also scored in added time to lead Atletico Madrid to a 3-1 win over Club Brugge on Wednesday.
A second-half header by Moussa Marega gave Porto a 1-0 Champions League win over Galatasaray at home on Wednesday.
Lionel Messi scored twice and powered Barcelona to a 4-2 win against Tottenham in Champions League Group B at Wembley Stadium on Wednesday night.
United States international Weston McKennie's late header gave Schalke a 1-0 win over Lokomotiv Moscow in the Champions League on Wednesday as they continued to recover from a poor start to the season.
Neymar scored his second Champions League hat trick as Paris Saint-Germain rolled to a 6-1 victory over Red Star Belgrade in a Champions League group-stage game at the Parc des Princes on Wednesday.
Roma's Edin Dzeko was again the tormentor for Viktoria Plzen as he scored a hat trick in a 5-0 Champions League Group G win for the Italian side on Tuesday.
Manchester United's dismal run of form continued as they were held to a 0-0 draw by Valencia in a drab Champions League clash at Old Trafford.
Lyon produced a stirring fightback to claw back two superb goals from Shakhtar Donetsk's Junior Moraes and rescue a 2-2 draw behind closed doors in a thrilling end-to-end contest at their Groupama Stadium on Tuesday.
A depleted Real Madrid suffered a shock 1-0 Champions League defeat at CSKA Moscow on Tuesday, extending a poor run of form for the holders that has left them without a win in three games.
Benfica played the entire second half with 10 men and squandered a two-goal lead before claiming a thrilling 3-2 win away to AEK Athens in Champions League Group E action on Tuesday.
Full-back Noussair Mazraoui earned a youthful Ajax side a 1-1 draw at misfiring Bayern Munich in their Champions League Group E clash at the Allianz Arena on Tuesday.
Paulo Dybala hit a hat-trick as Juventus maintained their 100% record in the Champions League courtesy of a 3-0 win against BSC Young Boys.
David Silva nipped in to secure a late 2-1 victory for Premier League champions Manchester City at Hoffenheim.
Cristiano Ronaldo's Champions League debut for Juventus lasted only 29 minutes as he was red-carded but the Italians began their Group H campaign impressively with a 2-0 victory at Valencia on Wednesday.
Paul Pogba scored two first-half goals as Manchester United spoiled Young Boys' first appearance in the group stage of the Champions League by cruising to a comfortable 3-0 victory at the Stade de Suisse on Wednesday.
Manchester City looked far from potential Champions League winners as they fell to a surprise 2-1 loss at home to Olympique Lyonnais on Wednesday with a flat performance that leaves them with plenty of work to do to progress from Group F.
CSKA Moscow salvaged a 2-2 draw with Viktoria Plzen in the Champions League on Wednesday after a penalty deep in stoppage time.
Bayern Munich midfielder Renato Sanches had a goal and an assist in his return to Benfica in a 2-0 victory on Wednesday.
Real Madrid rode goals from Isco and Gareth Bale to a 3-0 win against Roma in their Champions League Group G opener at the Camp Nou on Wednesday.
The youngest coach in Champions League history drew his debut game Wednesday as Hoffenheim's match at Shakhtar Donetsk finished 2-2.
Nicolas Tagliafico scored two second-half goals as Ajax marked their return to the Champions League group stages with a 3-0 victory over AEK Athens on Wednesday.
A stoppage-time goal from Roberto Firmino gave Liverpool a 3-2 win over Paris Saint-Germain on a dramatic Champions League night at Anfield.
Red Star Belgrade ground out a 0-0 home draw against Napoli on the Serbian side's Champions League debut as their goalkeeper Milan Borjan made a flurry of telling saves in a pulsating Group C clash on Tuesday.
Borussia Dortmund's United States forward Christian Pulisic came off the bench to grab a late goal for a 1-0 Champions League Group A victory over Club Brugge on Tuesday.
Atletico Madrid battled their way back from a goal down to pull off a confidence-boosting 2-1 win at AS Monaco in Champions League Group A on Tuesday, with a defiant response to their troubling start to the domestic season.
Inter Milan scored two late goals as they came from 1-0 down to beat Tottenham Hotspur 2-1 in a dramatic Champions League clash at the San Siro.
Lionel Messi scored a record-setting hat trick as Barcelona opened their Champions League campaign in Group B with an impressive 4-0 win against PSV Eindhoven at the Camp Nou.