The win increased Zinedine Zidane's side's advantage at the top of the standings to six points
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.
Images from Saturday's action in La Liga.
IMAGES from the Champions League 2nd semi-final first leg match between Barcelona and Liverpool at Nou Camp on Wednesday
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.
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.
News of all that's transpired on and off the football field.
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.
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
IMAGES from the football matches played across Europe on Sunday.
A round-up of Tuesday's action in the UEFA Champions League.
News of all that's 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.
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.
A summary of Saturday's football action across the world.
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.
Atletico Madrid fell to their heaviest league defeat of the season
News of all that's transpired on and off the football field
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.
Images from the UEFA Champions League matches played on Tuesday night.
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.
A round-up of Saturday's action in Serie A, La Liga and Bundesliga.
Leicester City's Kelechi Iheanacho scored two poacher's goals as they beat Manchester United 3-1 in their FA Cup quarter-final on Sunday to set up a last-four clash against Southampton.
News of all that's transpired on and off the football field
News of all that's transpired on and off the football field
A round-up of Wednesday's action in the UEFA Champions League.
The FIFA 2022 World Cup will kick-off in Qatar on Sunday, November 20. Here is a list of the 26-man squads playing in the quadrennial global football extravaganza.
Barcelona crashed out of the Champions League following a 3-0 defeat at Bayern Munich on Wednesday, failing to make it past the group stage of the competition for the first time since the 2000-01 season.
Champions Barcelona reclaimed top spot in La Liga on Sunday by overcoming a dogged Villarreal side to win 2-0 at home with goals from stalwart defender Gerard Pique and youngster Carles Alena taking them above Sevilla.
A round-up of Wednesday's action in the UEFA Champions League.
Angel Correa saw La Liga leaders Atletico Madrid snatch a 2-1 victory away to Granada on Saturday
Images from Tuesday's action in the UEFA Champions League.
In England, the celebrations went on at Leicester City as they marked their fairytale Premier League success with another win while champions Juventus' long unbeaten streak in Italy came to an end.
Lionel Messi scored a penalty for the third Champions League game in a row with the Spaniards maintaining their winning start to the group stage.