Head coach Michael Bradley believes Edinburgh can head into the Heineken Cup with confidence.
Bradley's side will face Magners League rivals Cardiff Blues, London Irish and big-spending Parisian newcomers Racing Metro 92 in Pool 2.
"The sides that we've been drawn against all present winnable opportunities for us," said Bradley.
Glasgow are up against defending champions Leinster, former winners Bath and tournament debutants Montpellier.
Warriors head coach Sean Lineen said: "We have three challenging teams in this draw but the boys are excited because these are three good sides to measure yourself against.
"Leinster bring an all encompassing physicality to the competition; Montpellier are a great team who really like to play rugby and Bath have quality players right through their team.
"We are up against three giants of the game really, but we want to play against the best and get three home wins first and foremost."
Edinburgh faced Cardiff last season, when the Welsh side won by a single point at Murrayfield and by a converted try at Cardiff City Stadium.
"I suspect this group will be very tight," added Bradley.
"The timing of the matches - who we play and when we play - is going to be very important but the overriding impression is that if we perform to our abilities, this is a group that Edinburgh could do well in.
"Our supporters will play a very big part in our home matches.
"They're all very attractive matches for us with three excellent teams coming to Murrayfield so the more Edinburgh supporters we can get out there the better as it could make a big difference to us in what could be a very close group.
"If we do our work at the start of the season and concentrate on the areas that we need to improve on then I believe we can go into the competition with confidence."
The tournament kicks off in early November, three weeks after the World Cup draws to a close in New Zealand.
The final will take place at Twickenham on the weekend of 18-20 May 2012.