Messi marked his 400th appearance in La Liga by giving Barcelona the early lead and taking his all-time record in the competition to 365 goals.
While Wenger has endured a Premier League title drought since 2004, success in football's oldest cup competition has helped the Frenchman to gain new contracts.
The win gave three crucial points to Bengaluru FC, who are now leading the points table wih 18 points from six wins in nine matches.
Messi opened the scoring with his league-leading 16th goal of the season before Suarez doubled the advantage ahead of half-time.
Barcelona said Coutinho will sign a contract for the rest of the ongoing season and five more seasons. He still needs to finalize personal terms and pass a medical examination.
The beleaguered Stoke manager was condemned to one last humiliation, a 2-1 loss to Coventry in the third round of the world's oldest knockout competition, before getting fired on Saturday.
The Everton outcast was supposed to join Chelsea in the summer transfer window but it was then manager Ronald Koeman who decided to keep the midfielder from being sold.
Signed last week for 75 million Pounds as the world's most expensive defender, Van Dijk scored an 84th-minute winner against Everton.
Salah has been on a surgical rise this season as helped Egypt reach the World Cup since 1990 and is also the leading goal scorer in the English Premier League this season.
Like Valverde, Madrid coach Zinedine Zidane rested top players Cristiano Ronaldo, Sergio Ramos and Luka Modric.
Son spared Tottenham from embarrassment in the 84th minute by cancelling out a similarly breath-taking strike from Pedro Obiang.
After the match, Pune FC topped the table with 16 points from nine matches, while Kerala were at the 8th position with eight points after as many matches.
Arsenal isn't even in City's slipstream but floating far from the leaders, sitting adrift by 23 points and actually closer to the relegation zone by four points.
All four goals came in the final half hour of a game that left third-place and defending champion Chelsea 16 points behind Manchester City and Arsenal 23 adrift of the leaders.
Raheem Sterling gave City lead inside a minute - he has now scored the earliest and latest goals in the league this season - before Christian Kabasele's own goal and a close-range finish from Sergio Aguero put City 3-1 up.
Their first loss of the season came in front of a near capacity crowd of about 15,000 at the Mohun Bagan ground.
Wenger allegedly misbehaved after the match in the officials' changing room.
Ragnar Klavan headed home the winning goal at Turf Moor as Liverpool earned a hard-fought victory without three of its "Fab 4" attack, with Roberto Firmino demoted to the bench and both Philippe Coutinho and Mohamed Salah declared injured.
Failing to clinch their 19th straight victory, City could not equal the landmark set by Pep Guardiola's Bayern Munich in the 2013-14 season of the record winning streak in Europe's top five leagues.
Chelsea, another team fighting for a finish in the Champions League qualification positions, had it much easier in a 5-0 victory over a depleted Stoke side at Stamford Bridge.
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