"First up for us is Clermont," said Leinster captain Leo Cullen, as he reacted to the draw.
"If we can get past them then we will start looking at the challenge of facing either Toulouse or Stade Francais.
"The quality of the teams left in the Heineken Cup is just unbelievable and this season the French teams have really hit back with their sides winning four of the six pools.
"It has brought a French feel to the tournament and you have to say they are looking pretty formidable, particularly with the prospect for them of playing in the final in Paris in May."
2009/10 HEINEKEN CUP SEMI-FINALS:
- Matches to be played on May 1/2
The winner of the first named quarter-final in each semi-final pairing will have home country advantage.
Semi-final 1: Toulouse or Stade Francais v LEINSTER or Clermont Auvergne
Semi-final 2: Biarritz Olympique or Ospreys v MUNSTER or Northampton Saints