It's Glasgow's first appearance in the competition. The first-leg tie will be in France on the weekend 5-7 December, and Hughenden will host the return match a week later.
"Obviously, it will be a hard game in France," Hugh Campbell, Glasgow's coach, remarked this afternoon. "But we’ll be looking forward to the challenge."
If Glasgow win through the first round they will play against either Saracens or Roma.
Parker Pen have ended their sponsorship of this competition and the shield event.
The tournament has been reduced from 32 to 28 teams this year due to the reorganisation of the Welsh professional club game.
This means there will be 14 matches in Round 1 of the European Challenge Cup, producing 14 winners to move into the second round. The two best defeated teams will join the 14 winners in Round 2 as lucky losers, providing eight games in that round.
Meanwhile, the 12 remaining first-round losers will move into Round 1 of the European Shield where they will be joined by four additional teams, two from Spain and two from Portugal.