Manchester United and Celtic recorded brilliant away wins, while Basel secured a record home win in Switzerland.
Manchester United were unstoppable, as they went to Russia, saw and conquered their hosts, CSKA Moskva, 4-1 thanks to a brace from Romelu Lukaku, who took his tally for the season to ten goals in nine games.
Anthony Martial and Henrikh Mkhitaryan were the other scorers, while Kuchaev got the consolation goal for the home side.
In Switzerland, Benfica lost for the second game running, after they were beaten 5-0 by Basel, who secured a record home win in Europe, with Dimitry Oberlin getting a brace, while, Michael Lang, Ricky Van Wolfswinkel and Riveros scored a goal each.
PSG laid down a marker in Group B with a comfortable 3-0 thrashing of Bayern Munich, with goals from Dani Alves, Edinson Cavani and world most expensive footballer, Neymar, extending their unbeaten home run against the Bavarians.
In Belgium, Anderlecht were at the receiving end of a 3-0 smashing from Celtic, their second of the campaign, with Leigh Griffiths, Patrick Roberts and Scott Sinclair scoring for the Scottish champions.
The Wanda Metropolicano stadium hosted its first European game as Chelsea defeat Atletico Madrid 1-2 to sit firmly at the top of Group C.
The home team went ahead from a Greizmann penalty late in the first half but his strike was cancelled out by a brilliant Alvaro Morata header, after failing to score against Atletico in six previous appearances.
The blues were in control throughout the 90 mins and it was only a matter of time before late substitute, Batshauyi scored the winner with the last kick of the game after a brilliant piece of football from the English Champions.
The loss leaves Diego Simeone’s men in third position after just one point in two matches.
Roma’s 2-1 victory away to Qarabag earlier in the day puts them in second position with 4 points after two games.
Chelsea are in control of the group after match day two with six points, while Qarabag remain bottom after recording their second successive loss, following a 2-1 defeat by Roma in the first ever CL game played in Azerbaijan.
Kostas Manolas and Edin Dzeko scored both goals for the visitors, Pedro Henrique scoring the what turned our a consolation for the host.
Barcelona moved top of the group after a hard-fought 1-0 win over Sporting Lisbon in Portugal earned them their second win of the campaign.
The match was decided by an unfortunate second half own goal by Sporting player, Sebastian Coates.
In Turin, Juventus made it 20 European games unbeaten at home with a 2-0 defeat of Olympiacos, with goals from Gonzalo Higuain and Mario Mandzukic ensuring the Italians bounced back from their defeat in match day one.