European Champions Cup holders Saracens will host Glasgow Warriors in the quarter-finals after the draw was made on Sunday.
Saracens, who beat Racing 92 21-9 in the Lyon final last season, will continue on the road to Edinburgh at Allianz Park.
Saracens director of rugby Mark McCall is hoping his side make the most of their home advantage.
"In our experience, European quarter-finals are always tight and testing occasions so to have our home support behind us is a real positive," he said.
"Glasgow Warriors are a team we have a huge respect for. In this year's competition they have produced some fantastic performances.
"It'll be a huge test for us but one that we're looking forward to."
Elsewhere, Munster welcome Toulouse and Wasps will travel to Leinster after their 41-27 win over Zebre in Italy on Sunday.
Top seeds Clermont Auvergne host Toulon in a repeat of the 2015 final, which Toulon won.
In the Challenge Cup quarter-finals, 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.
European Champions Cup quarter-final draw: Clermont Auvergne v Toulon, Leinster v Wasps, Saracens v Glasgow Warriors, Munster v Toulouse.
Challenge Cup quarter-final draw: Bath v Brive, Gloucester v Cardiff, Edinburgh v La Rochelle, Ospreys v Stade Francais.
All ties will be played on March 30-31 and April 1-2.