Zlatan Ibrahimovic helped PSG ease into the Champions League last 16, while Antoine Griezmann inspired Atletico Madrid.
Bayern Munich pulled eight points clear at the top of the Bundesliga with a 3-1 win over Schalke on Saturday.
Andre Schubert has been appointed as Borussia Monchengladbach's full-time head coach after an impressive interim spell.
Wolfsburg slipped 13 points behind Bundesliga leaders Bayern Munich as they were beaten 2-0 at Mainz on Saturday.
Real Madrid beat PSG 1-0 to qualify for the Champions League's last 16, while PSV, Benfica and Shakhtar also won on Tuesday.
Borussia Dortmund and Wolfsburg both made inroads into Bayern Munich's advantage at the top of the Bundesliga with wins on Saturday.
Pierre-Emerick Aubameyang's hat-trick helped Borussia Dortmund ease to victory while Borussia Monchengladbach beat Schalke.
PSG and Real Madrid played out a 0-0 draw in the Champions League, while Juventus and Borussia Monchengladbach also drew.
Bayern Munich set a Bundesliga record for the best start to a season with their ninth consecutive victory, a 1-0 win over Werder Bremen.
Borussia Monchengladbach boss Andre Schubert has criticised USA coach Jurgen Klinsmann for his handling of Fabian Johnson.
Hertha Berlin and Ingolstadt took advantage of a slip by Wolfsburg to move into the top five of the Bundesliga on Saturday.
Sergio Aguero's late penalty saw Manchester City come from behind to beat Borussia Monchengladbach.
Man City's will to win shone through against Monchengladbach, but they still have defensive issues to sort out, says Niall Quinn.
Borussia Moenchengladbach will have no fear of Manchester City on Wednesday, according to coach Andre Schubert.
Manchester City left it late to beat Borussia Monchengladbach - scroll back to see how they did it.
Robert Lewandowski carved his name in history with a double for Bayern Munich, while Schalke drew level with Dortmund.
Dortmund lost ground on Bayern Munich at the top of the Bundesliga on as they dropped points for the first time this season.
Lucien Favre has resigned as head coach of Monchengladbach following the club's worst ever start to a Bundesliga campaign.
Bayern Munich opened up a three-point lead at the top of the Bundesliga by beating Darmstadt 3-0.
Shinji Kagawa set up two goals as Borussia Dortmund beat Hertha Berlin 3-1 to return to the top of the Bundesliga.