Last season's finalists Real Madrid CF and Club Atlético de Madrid won narrowly, Arsenal FC and Borussia Dortmund comfortably, and FC Basel 1893 sprung a surprise.
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• Cristiano Ronaldo misses one penalty and scores another as Madrid beat Ludogorets
• Danny Welbeck's first senior hat-trick helps Arsenal to defeat Galatasaray
• Last season's runners-up Atlético down Juventus thanks to Arda Turan effort
• Basel prevail at home to Liverpool via a Marco Streller goal
• Malmö, Leverkusen and Dortmund also record matchday two victories
Follow the links for video highlights (until 24.00CET on Thursday), match reports and extensive reaction.
Club Atlético de Madrid 1-0 Juventus
• Atlético got off the mark in Europe courtesy of Arda's goal 15 minutes from time.
PFC Ludogorets Razgrad 1-2 Real Madrid CF
• The holders fell behind and missed a penalty inside the opening ten minutes, but prevailed through Cristiano Ronaldo's second spot kick and Karim Benzema's second-half volley.
Bayer 04 Leverkusen 3-1 SL Benfica
• Strikes from Stefan Kiessling, Son Heung-Min and Hakan Çalhanoğlu ensured Leverkusen got off the mark in the section.
RSC Anderlecht 0-3 Borussia Dortmund
• Ciro Immobile's early effort and a brace from substitute Adrián Ramos helped to maintain Dortmund's 100% record.