Kilmarnock forward Rory McKenzie is also included for the first time while Celtic goalkeeper Robbie Thomson replaces Tottenham's Jordan Archer, who has a game with loan club Wycombe on Monday night.
Stuart Armstrong, Rhys McCabe and Tony Watt return to the squad after missing the 3-2 friendly defeat to Portugal in November through injury.
Stark said: "Stephen O'Donnell and Stuart Bannigan have been playing really well for Partick Thistle this season so they also have a chance.
"I've also included Rory McKenzie who has been with us at under-19 level and acquitted himself quite well.
"We've been monitoring a number of strikers and giving one or two a chance and he gets the opportunity for this one."
Stark, who will find out his side's next European qualifying opponents on Thursday, added: "Kenny McLean is another player who would have been involved but he is just coming back from injury and some surgery in his knee so it didn't make sense to include him from the point of view of his club."
Squad: Kettings (Blackpool), Thomson (Celtic); Duffie (Falkirk), McHattie (Hearts), O'Donnell (Partick), Robertson (Aberdeen), Toshney (Celtic), Wallace (Huddersfield); Armstrong (Dundee United), Bannigan (Partick), Fyvie (Wigan), Holt (Hearts), McCabe (Sheffield Wednesday), Scougall (Livingston); McGeouch (Celtic), McKenzie (Kilmarnock), D Smith (Hearts), Watt (Celtic).
- Sports & Recreation
- Partick Thistle