The only goalless draw of the night occurred at Signal Iduna Park where Dortmund and AC Milan played out a stalemate.
Both clubs are still searching for a victory in Group F, but it'll be Milan the happier of the two sides as the result leaves them just a point behind second-placed PSG, while Dortmund are bottom.
Dortmund lost 2-0 in Paris in the opening week, while Milan were held in a stalemate by Newcastle.
Match Events
6' Malen's shot wide out
17' Thiaw's header over the bar
19' Yellow Card! Nico Schlotterbeck booked
24' Bensebaini's header over the bar
27' Malen's long shot wide out
33' Reus' free kick over the bar
35' Brandt's bicycle kick over the bar
54' Pulisic's shot too straight
75' Gittens' shot over the bar
82' Theo's header wide out
Line-ups
Dortmund XI: Hummels, Reus, Emre Can, Füllkrug, Brandt, Gregor Kobel, Bensebaini, Özcan, Julian Ryerson, Donyell Malen, Nico Schlotterbeck
Subs: Alexander Meyer, Haller, Sule, Wolf, Reyna, Marcel Lotka, Karim Adeyemi, Felix Nmecha, Youssoufa Moukoko, Jamie Bynoe-Gittens
Milan XI: Giroud, Maignan, Calabria, Tomori, Theo, Pulisic, Tommaso Pobega, Tijjani Reijnders, Leao, Yunus Musah, Malick Thiaw
Subs: Kjaer, Mirante, Florenzi, Sportiello, Jovic, Samuel Chukwueze, Yacine Adli, Noah Okafor, Davide Bartesaghi