Munster will know a win will more than likely put them into second place in the Pool with one game - a home tie against Racing Metro 92 at Thomond Park - to play and a good chance of qualification.
Racing Metro 92 face Saracens in Nantes on Saturday afternoon, so Munster will know what they need to do when they face the Scots outfit at Murrayfield on Sunday afternoon.
Munster, with the evergreen Ronan O'Gara still a reliable points machine, have only failed to reach the last eight of European rugby's premier tournament once in the last 14 seasons and that was in 2011.
The Irish province were given a real wake up call last weekend and will be looking to bounce back from their shock home defeat in the Pro12 to a young Cardiff Blues side at Musgrave Park.
Edinburgh, who reached the semi-finals of last season's Heineken Cup, are out of this season's tournament and are still looking for their first points, let alone win in this Pool.
The Scottish side, who are struggling at ninth in the Pro12, have endured a miserable campaign and have been a shadow of the side which won so many admirers last season.
- Munster nilled Edinburgh in their meeting this season and are the only Irish province to do so in the history of this tournament.
- Munster have missed just 20 tackles in 320 minutes of rugby. Their completion rate of 93% is the best in the tournament.
- Edinburgh, the tournament's lowest points scorers with 12 next to their name, have a place kicking success rate of 31% this season.
- The Scottish team have lost their last five matches, including last season's semi-final. This season, they have been nilled twice and are yet to hit double figures in a single game.
- Munster's victory over Edinburgh this season was the Irish club's only ever match against Scottish opponents in this competition.