Atlético Madrid and Bayern Munich are also 0-0 at the same stage. Bodo/Glimt and Lille are 0-0 after thirty minutes of play.
In another match, FC Barcelona leads 1-0 against Aston Villa thanks to Lamine Yamal.
The two-time defending champion has the chance to continue its campaign with a fourth consecutive win, at Villarreal.
Villarreal, third in La Liga last season, has won only three of its first eleven league matches.
The good intentions at the start of the match are not translating into a stunning attacking surge.
The Lille players are well organized, but a bit of imagination will be needed now.
PSG remains the heavy favorite on paper.
The Paris-region club has 75% possession and 15 shots, including 8 on target, against 4 for the opponent.
The Spanish team currently occupies 19th place in the league phase.