The Women’s Super League champions were among the top four seeds in Monday’s draw but find themselves in a group containing two of the biggest names in European football as well as Albanian minnows Vllaznia.
PSG reached the semi-finals of the tournament last year and Real Madrid the quarters, where they lost to Barcelona in front of more than 90,000 people.
Chelsea, runners-up to Barcelona in 2021, will seek to right the wrongs of last season, when a 4-0 loss to Wolfsburg condemned them to a hugely disappointing group stage exit.
Arsenal are the other British representatives at this stage after narrowly beating Ajax over two legs and they also got a tricky draw.
They are due to face defending champions Lyon, who beat Barcelona in the final last season, and Juventus in Group C as well as Swiss side Zurich.