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.
A summary of the opening day's action in the UEFA Champions league on Tuesday.
A summary of Thursday's second leg quarter-final matches in the Europa League.
IMAGES from the football matches played across Europe on Sunday.
IMAGES from soccer matches played on Monday.
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.
Marseille cement second place with Montpellier win
Barcelona were held to a frustrating 0-0 draw at Olympique Lyonnais in their Champions League last-16 first leg on Tuesday as both sides remained unbeaten in this season's competition.
Atletico Madrid won the La Liga title for the first time since 2014
News of all that's transpired on and off the football field
Images from the UEFA Champions League matches played on Tuesday night.
Zinedine Zidane has said his side are in a delicate situation as they prepare to host arch-rivals Barcelona in a La Liga title showdown on Sunday
Images from the Nations League football matches played on Thursday.
The win increased Zinedine Zidane's side's advantage at the top of the standings to six points
IMAGES from the Champions League 2nd semi-final first leg match between Barcelona and Liverpool at Nou Camp on Wednesday
IMAGES from the Champions League matches played on Tuesday.
Images from Saturday's action in La Liga.
Messi, who has struggled for form in recent weeks due to a niggling injury, looked on a mission to grab the winner and after twice coming close he completed his treble to put Barca ahead in the 85th minute, reacting quickly to a poor Sevilla clearance to dink the ball over goalkeeper Tomas Vaclik.
Barcelona twice threw away the lead to draw 3-3 at Levante on Tuesday in a potentially fatal blow to their chances of winning the La Liga title.
The Qatari-owned PSG paid 222 million euros ($263 million) to take the Brazil striker from Barcelona to the French capital in a move that also appears to make little sense for the player from a footballing perspective.
Monaco's firepower was far too hot to handle for Olympique de Marseille as the Principality side moved top of the French Ligue 1 standings with a 4-0 home win on Saturday.
Real Madrid ended their long wait for a La Liga victory by beating Real Valladolid 2-0 on Saturday with two late goals in interim coach Santiago Solari's first home game in charge of the struggling European champions.
News of all that's transpired on and off the football field.
Real Madrid were dumped out of the Copa del Rey at the quarter-final stage on Thursday after losing 4-3 at home to Real Sociedad, while record 30-times winners Barcelona were sent crashing out of the Copa del Rey in a 1-0 defeat at Athletic Bilbao.
Barcelona teenager Ansu Fati scored twice to lead his side to a 2-1 win at home to Levante on Sunday, finding the net in a league game for the first time in more than four months and becoming the youngest player to net a La Liga double. Romelu Lukaku scored a quickfire second-half double to give Inter Milan a 2-0 win at Udinese on Sunday, ending their run of three successive 1-1 league draws.
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.
News of all that transpired on and off the football field
Barca captain Messi opened the scoring with a "Panenka" penalty chipped straight down the middle in the 17th minute after Luis Suarez was fouled in the area, putting the home side ahead in the tie after a goalless first leg in France.
News of all that's transpired on and off the football field.
A summary of Saturday's football action across the world.
Lionel Messi was back in scoring business for Barcelona on Sunday, leading them to a resounding 4-0 win at home against Villarreal in a near-perfect La Liga opener for the Catalans under new coach Ronald Koeman.
Atletico Madrid fell to their heaviest league defeat of the season
Cristiano Ronaldo helped Juventus continue their unbeaten start to the Serie A season with a comfortable 2-0 home victory over struggling SPAL on Saturday.
IMAGES from the football matches played across Europe on Sunday.
News of all that's transpired on and off the football field
A round-up of Tuesday's action in the UEFA Champions League.
Barcelona snatched a late 2-1 win at Getafe with Paulinho's strike sending them seven points clear of arch-rivals Real Madrid at the top of La Liga.
Atletico Madrid demonstrated their remarkable team spirit to come roaring back from two goals and a man down to draw 2-2 at Liga debutants Girona on Saturday, after Antoine Griezmann had been sent off for the first time in his career.
European heavyweights Barcelona, Bayern Munich, Juventus and Paris St Germain all maintained their leads and Benfica toppled Sporting Lisbon.
Barcelona first struggled to come to terms with their shock 4-0 defeat to Paris St Germain in the Champions League last 16 first leg but have sparkled in their last two games and are daring to believe they can defy history by reaching the quarter-finals.
