Barca are third in the standings on 47 points, trailing leaders Atletico by eight points and second-placed Real Madrid by five points.
Liverpool's Mohamed Salah and Sadio Mane were on target to snap a three-match losing run as their side stunned RB Leipzig 2-0 in another round of 16 first-leg tie.
The deal over four years is the biggest signed by any athlete in sports history, says a report in Spanish newspaper El Mundo.
Messi was sent off for the first time in his Barcelona career in the closing stages of extra time as they lost 3-2 to Athletic Bilbao.
Raul Garcia scored twice in a 2-1 win over Real Madrid on Thursday to knock the holders out of the Spanish Super Cup and set up a final against Barcelona.
Lionel Messi and Antoine Griezmann each scored twice as Barcelona thrashed Granada 4-0 away to win a third consecutive La Liga game for the first time this season.
The win took Barca above Sevilla and into fifth place in the standings on 28 points, 10 behind leaders Atletico Madrid who beat Alaves 2-1 earlier on and who have a game in hand on the Catalans.
Martin Braithwaite missed a penalty for the Catalans.
From January, Messi will be free to negotiate his next move as he will enter the final six months of his contract with Barcelona.
The Barcelona talisman scored his 644th goal to surpass Pele as the all-time record scorer for a single club.