European Champions Cup holders Saracens will host Glasgow Warriors in the quarterfinals after the draw was made on Sunday.
Mark McCall's side beat Racing 92 21-9 in Lyon last season and will continue the road to Edinburgh at Allianz Park.
Munster welcome Toulouse and Wasps will travel to Leinster after their 41-27 win over Zebre in Italy on Sunday.
Elsewhere, top seeds Clermont Auvergne host RC Toulon in a repeat of the 2015 final, which Toulon won.
European Champions Cup quarterfinal draw:
Clermont Auvergne vs. RC Toulon, Leinster v Wasps, Saracens vs. Glasgow Warriors, Munster vs. Toulouse.
In the Challenge Cup quarterfinals, Bath face Brive while Gloucester will play Cardiff.
Ospreys play Stade Francais and Edinburgh welcome La Rochelle, who are second in the Top 14 table and qualified for the last eight as one of the best three pool runners-up.
Challenge Cup quarterfinal draw: Bath vs. Brive, Gloucester vs. Cardiff, Edinburgh vs. La Rochelle, Ospreys vs. Stade Francais. All ties will be played on the 30/31 of March and 1/2 of April.