Rob Penney's side won by 38-6 in their Pool 6 clash at Thomond Park.
Munster scored six tries through James Coughlan, Johne Murphy, Conor Murray, Peter O'Mahony, Simon Zebo and Felix Jones.
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Also in Pool 6, Gloucester won at Perpignan by 36-18.
Should Clermont get a bonus point win at home to Racing Metro today, then it looks like it will be Munster at home to Toulouse in the quarter-finals, while Leinster will face a trip to the reigning champions Toulon.
