Northampton Saints will host the Bulls in the quarter-finals of the Investec Champions Cup, which will also feature a rematch of the previous two finals.
La Rochelle, who defeated Leinster in both finals, will face the Irish team again after an away win against the Stormers.
Harlequins travel to Bordeaux, while Exeter Chiefs face a difficult trip away to five-time champions Toulouse.
Leo Cullen's Leinster suffered a heartbreaking defeat in the final game against La Rochelle, but opened this year's tournament with a pool stage win against Ronan O'Gara's side.
This will be the fifth time in the last four seasons that the two teams will meet in this tournament.
“That's a great challenge, isn't it?” Karen said. “We've seen each other a lot the last few seasons. That's what you want. You want to test yourself against the best teams.”
“La Rochelle obviously won the tournament, beating us in the final twice. This year we managed to beat La Rochelle in the first round, but we have two good teams working on it. .”
The Bulls are the only South African team remaining in the competition and have reached the last eight for the first time after defeating Lyon 59-19 in Pretoria.
quinns first knockout victory Facing Glasgow in the highest level of competition in European history resulted in a daunting trip to Bordeaux Begles, who dealt a blow to Saracens. 45-12 in France on Saturday.
Exeter, who reached the semi-finals last season, put in a strong second half performance to oust fellow Premiership side Bath. 21-15 At Sandy Park.
Antoine Dupont's Toulouse entered the finals as the top seed after winning all four of their pool games, scoring five tries in a 31-7 win over Racing 92 on Sunday.
Quarterfinal match results
(1) Toulouse v Exeter Chiefs (8)
(4) Bordeaux Begles v Harlequins (5)
(2) Leinster v La Rochelle (10)
(3) Northampton vs. Bulls (6)
The seed value is in parentheses.
Possibility of advancing to the semi-finals
The semi-final could be an all-English or all-French contest, with the winner of Toulouse vs. Exeter potentially facing Bordeaux Begles or Harlequins.
Top-seeded Toulouse will reach the semi-finals at home if they defeat Rob Baxter's side. Exeter's win and Bordeaux's win mean an away draw in France for Chiefs.
If both English teams win, Quins will host Exeter.
On the other side of the draw, if Northampton beat the Bulls they will face one of last year's finalists in Leinster or La Rochelle.
If La Rochelle win, Saints will get a home draw, but if Leinster win, Northampton will face Dublin in the semi-final.
important dates
Quarterfinals – April 12/13/14
Semi-finals – May 3/4/5
Finals – May 25th