Speedy Dominici runs away with it; Glasgow Caledonians 15 Stade Francais 30.
It was tough on the Reds, who contributed fully to an absorbing contest but the visitors were quicker, far more accurate with their passing and took the opportunities which came their way.
Stade's victory was the first away success in ten matches played so far in the group.
Bourgoin went out of the Cup in a blaze of glory as they grabbed their first away win in the tournament at the home of the reigning champions, beating Ulster 36-27.
The French side ran in five tries as they erased an early ten-point deficit to leave Ulster firmly rooted to the bottom of Pool Three without a win in their defence of the title.