The decision to call up the Hiberian striker, as well as Inverness forward Andrew Shinnie, Kilmarnock's Liam Kelly and St Mirren goalkeeper Craig Samson, comes after nine of Stark's original squad pulled out following the weekend's football action.
Notably, Steven Fletcher, Charlie Adam, Jamie Mackie and Shaun Maloney have all withdrawn, leaving space for the likes of Griffiths, a regular in Stark's Scotland Under-21 side to be called upon for the international fixture in the principality. Stark already had to make do without regulars Scott Brown, Gary Caldwell, Alan Hutton and Alan McGregor.
However, Griffiths, who has hit 12 goals in 12 league appearances for Hibernian so far this season on loan from Wolves, may miss out himself due to an injury sustained in his side's victory over Dundee United.
Speaking to the Scottish Football Association website, Stark explained his selection choices: "Obviously at this stage of the season, with players playing weekend and midweek, niggles and strains and withdrawals are to be expected.
|TIRESOME TARTAN ARMY|
|10/1||Scotland are 10/1 with William Hill to draw 0-0 with Luxembourg on Wednesday evening|
"This match gives us an opportunity to look at players who maybe have not had experience of the international set-up but who have been in tremendous form at their clubs.
"Leigh has been excellent for Hibernian. I know him from the under-21s and he is a talented player.
"Liam has been terrific for Kilmarnock and it is fitting that he gets an opportunity, while Andrew has been a real inspiration behind Inverness's success so far this season."Scotland remain in search of a permanent manager after the sacking of Craig Levein following their poor start to their World Cup qualification campaign for Brazil 2014, which currently sees them bottom of Group A with only two points from their opening four games.