Edinburgh's become only the second Scottish club to reach the knockout stages of rugby's Heineken Cup after beating London Irish 34-11.
Edinburgh's feat earns them a home tie in April against four-time winners Toulouse.
Cardiff has also joined them from Pool Two after edging Racing-Metro 36-30 and will travel to holders Leinster.
Earlier Saracens had ensured there is one English club in the last eight after a 26-20 win over Treviso.
Fellow Premiership sides Harlequins and Northampton were eliminated on the final weekend of qualifying.