Munster will welcome Toulouse to Thomond Park, and a win for Rassie Erasmus's side would see them play either Saracens or Glasgow in the semi-finals.
On the other side of the draw, Leinster will be at home to Wasps, and the winners will take on French sides Clermont or Toulon.
The dates and kick-off times will be confirmed this week.
Connacht agonisingly missed out on a place in the quarter-finals after losing to Toulouse yesterday.
