The Scottish side last reached the knockout stages eight years ago when they played the same opponents Toulouse in the last eight of the tournament.
Bradley, though, is hoping his contacts in Ireland, with his former side Connacht, who played the French aristocrats in the Pool stages will give him the inside track on a Scottish victory.
"I will ring Eric Elwood, the Connacht coach, in Galway and get all the information I need and hopefully we can plan the downfall of Toulouse," said Bradley.
"But this is a huge step forward for Edinburgh rugby, first and foremost, and to the players here who made a commitment to each in September of this year when we set out some objectives and how we wanted to play the game
"We made a commitment to areas we haven't been good at in the past and we have had some brilliant games here at Murrayfield against Racing Metro and the Cardiff Blues.
"The boys have achieved what they set out to do so far and it's great for Edinburgh rugby. I thought we played well and controlled the game against London Irish.
"We were relatively comfortable in the first half and we just had to do more of the same in the second half when it got a bit rocky when we turned over a few balls
"We were fantastic near the end and we have always got stronger near the end of games this season."