The team bounced back from successive defeats to Glasgow with a fine win over Cardiff at Murrayfield, but when they hit the road again last week they went down to Ulster 21-13 in Belfast, a result which extinguished any realistic hope of reaching the quarter-finals of the Heineken Cup.
The last eight of the Amlin Challenge Cup remains a possibility – it could occur with the combination of an Edinburgh win and a Dragons' defeat of Gloucester – and that remains part of the Scots' motivation, but atoning for a miserable performance in Paris at the start of this season's competition figures as prominently in the players' minds.
Paterson is just two away from breaking the Edinburgh points record in the Heineken Cup of 228 set by former stand-off Duncan Hodge, but he insisted: "I don't worry too much about numbers, points or records. Of course, it would be nice, but the big focus for all of us is just on winning this final pool match.
"Over the years, we have beaten the likes of Toulouse here in the Heineken Cup and it would be great to be able to add another big French club's name to that list."
Head coach Rob Moffat yesterday named a 28-man squad as he continues to monitor the progress of some minor injuries within the squad, but Mike Blair, David Blair (both ankle), Allister Hogg (hip), Simon Cross and Andrew Easson (both knee) are all out of action.
Stade Francais need only a bonus point on Saturday – earned by scoring four tries or keeping a defeat to within seven points – to qualify for the last eight and could again field Hugo Southwell, the former Edinburgh Test full-back who turned out at stand-off for Scotland A in November, at scrum-half.