A penalty from Kylian Mbappe and a brilliant goal from Achraf Hakimi gave PSG an ultimately comfortable win over a game but under-powered Dortmund.
Paris dominated possession in the first half with Vitinha excellent – he hit the post with a clever shot – but otherwise they created little, while Dortmund, who came close through Donyel Malen, looked a threat on the counter.
The game changed, though, in the first minute of the second half, Mbappe skewing a shot that hit the arm of the unsighted Nikolas Sule.
Somehow, the referee appraised a penalty which was dispatched by Mbappe with ease.
In the 58th minute, Paris made the game safe. A terrific attack starting down the left before being finished from the right, Vitinha teeing-up Hakimi to curve home a lovely finish.