The draw was made in Dublin using the new ranking system based on performances in Europe over the last four seasons.
Biarritz were in the final only three seasons ago, and while Glaws know all about the threat from the Blues, Calvisano are less well-known.
Coach Dean Ryan (right) told the club webite: “Biarritz are a hugely powerful and organised side, have a history in the competition that would be the envy of a lot of clubs. Their threat, particularly at home, is an obvious one.
“They have a tremendous pedigree and their home record is as good as anything in the competition. It will be a huge examination for us but one we will relish as we develop as a side.”
Glaws have met the Blues three times in the Heineken Cup, winning all three, and Ryan added: “There is obvious spice with an Anglo-welsh contest against Cardiff.
“They are always unique occasions; they are a fantastic side who also have a real passion and understanding about this competition and I am sure the Heineken Cup will bring the best out of both teams.
“We have not faced an Italian side since we played Treviso in the pool stages in 2003-04, but Italian rugby is improving all the time, they are massively competitive at home and will relish the opportunity to take us on.
“I think we face a variety of opponents, some of which are new to us, and that will only add to the excitement.”
POOL 1 Munster, Sale, Clermont Auvergne, Montauban
POOL 2 Wasps, Leinster, Castres, Edinburgh
POOL 3 Leicester Tigers, Perpignan, Ospreys, Treviso
POOL 4 Stade Francais, Llanelli, Ulster, Harlequins
POOL 5 Toulouse, Bath, Dragons, Glasgow
POOL 6 Biarritz, GLAWS, Cardiff, Calvisano
Round One: October10-12 Round Two: October 17-19
Round Three: December 5-7
Round Four: December 12-14
Round Five: January 16-18
Round Six: January 23-25
Quarter-finals: April 10-12
Semi-finals: May 1-3
Final: May 22-24 (Murrayfield)
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