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.
Barcelona moved six points clear at the top of La Liga by easing to a 4-0 win at home to Deportivo La Coruna on Sunday with doubles from Luis Suarez and Paulinho ahead of next week's 'Clasico' against champions Real Madrid.
Real Madrid's stuttering season continued as they were reduced to 10 men and then slumped to an 11th La Liga defeat of the campaign by going down 3-1 at Real Sociedad.
Images from the UEFA Champions League quarter-final first leg matches played on Wednesday
Griezmann special earns Atletico 1-1 draw at Sevilla
Juve forward Cristiano Ronaldo had an unusually quiet game after scoring a hat-trick against Atletico in last year's competition, although he came within inches of grabbing a last-gasp winner when he sent a shot just past the far post.
A summary of Saturday's action in La Liga, Serie A and Bundesliga.
Briton Chris Froome won his second Tour de France title in three years on Sunday to enhance his growing reputation as a grand tour specialist.
Froome in control as Contador drifts, Van Garderen out of Tour de France.
News of all that's transpired on and off the football field
A summary of sports events and persons who made news on Sunday
IMAGES from La Liga matches played on Sunday
Messi opened the scoring after two minutes and eight seconds, the quickest goal of his career, slipping the ball through Thibaut Courtois' legs from a tight angle.
News of all that's transpired on and off the football field
A summary of Thursday night's UEFA Champions League matches.
News of all that's transpired on and off the football field
A round of Wednesday night's Champions League group stage matches.
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 look at the top tweets from your favourite Bollywood celebrities.
A summary of Wednesday's matches in the UEFA Champions League.
Alberto Contador will cement his status as the best grand tour rider of the modern era if he emerges as the winner of the Big Four's battle royale at the Tour de France -- the most highly anticipated race in decades.
Barcelona closed in on the La Liga title after beating 10-man Atletico Madrid 2-0 in Saturday's top-of-the-table showdown at the Nou Camp as late strikes by Luis Suarez and Lionel Messi gave the Catalans an 11-point lead at the top of the table.
A summary of Tuesday's Group stage matches in the UEFA Champions League.
News of all that's transpired on and off the football field
Images from the Champions League matches played across Europe on Tuesday
German Marcel Kittel claimed his third victory on this year's Tour de France when he pipped Mark Cavendish on the line to take the 12th stage on Thursday.
News of all that's transpired on and off the football field
This and more from the happenings in the world of football
But Froome's Big Four rivals at the tour -- Alberto Contador, Vincenzo Nibali and Nairo Quintana - weren't the only hurdles in his path. There were outside influences that threatened to derail his campaign.
Mark Cavendish's Tour de France campaign suffered another setback on Tuesday when the Briton had to settle for third in a sprint after being involved in a crash in a chaotic stage 10 finale won by Marcel Kittel.
An insatiable Lionel Messi scored for the eighth game in a row in all competitions as La Liga champions Barcelona saw off a gutsy Girona side 2-0 to go five points clear at the top of the standings.
Lionel Messi came off the bench to inspire Barcelona to a 3-1 win over a dogged Leganes side on Sunday, creating one goal and scoring another to keep the Catalans five points clear at the top of La Liga.
Bayern Munich and Barcelona registered easy wins, while Manchester United came from behind to beat CSKA Moscow 2-1 and Chelsea surrendered the top spot after a 1-1 at home against Atletico Madrid.
A summary of Wednesday's group matches in the UEFA Champions League.
Images from Tuesday night's UEFA Champions League group stage matches.
Football news from Ligue 1, Bundesliga and La liga.
A summary of Tuesday night's matches in the UEFA champions League.
A summary of Wednesday's matches in the UEFA Champions League.
A summary of Wednesday's matches in the UEFA Champions League.