The sides from the Welsh and Scottish capital are both unbeaten so far this campaign but the Blues, who have won the last five games between the sides, will be favourites on home soil.
Edinburgh, who top Pool 2 after narrow one-point wins over London Irish and Racing Metro 92, will be hoping to end their disappointing run of defeats to the fellow Pro12 side on Friday night.
The Scots will be hoping to carry on their march to reach a first knockout place since 2004 and only their second quarter-finals berth in the 15 seasons of the Heineken Cup.
The Blues will be hoping to extend their current run of five wins, in all competitions, on the trot against Edinburgh and to reach a quarter-finals place for the first time in two seasons.