Munster touched down three times in the last 10 minutes to secure their first win in this seasons Heineken Cup.
The two time winners beat Edinburgh by 33 points to 0 at Thomond Park in their pool 1 clash.
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Elsewhere today in pool 6, Toulon beat Cardiff 22-14 at the Cardiff Arms Park while Montpellier saw off Sale by 33 points to 18.
In pool 2 Leicester beat the Ospreys by 39 points to 22.