There was another hat-trick from Real Madrid playmaker Cristiano Ronaldo after he converted two goals from a spot kick and one from open play.
Two English teams Manchester United and Manchester City lost in their respective games – the former lost away at PSV while the latter lost at home against Juventus.
However, there were wins for Atletico Madrid, Real Madrid, Benfica and others.
The other matches in week one will be played tomorrow.
Check the results out:
PSG 2 – 0 Malmo
Real Madrid 4 – 0 Shaktar Donetsk
Wolfsburg 1 – 0 CSKA Moscow
PSV Eindhoven 2 – 1 Man. United
Galatasaray 0 – 2 Athletico Madrid
Benfica 2 – 0 Astana
Man. City 1 – 2 Juventus
Sevilla 3 – 0 Monchengladbach