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.
Wolfsburg slipped 13 points behind Bundesliga leaders Bayern Munich as they were beaten 2-0 at Mainz on Saturday.
Chelsea Ladies' hopes of reaching the Women's Champions League quarter-finals were dealt a blow after a 2-1 defeat to Wolfsburg.
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.