The South Americans were held 0-0 by Ecuador without their talisman and face strong opposition in the form of the Balkan nation, who qualified for their first World Cup last month
Back in 1998 Bosnia were thrashed 5-0 by the South Americans and they will be hoping for a better outcome in this friendly fixture as they have come along way since then.
The Balkan nation ensured they will make their maiden appearance at the World Cup finals in 2014 with a 1-0 win over Lithuania last month.
That victory gave Safet Susic's men top spot in Group G of the European qualification section after they lost just one match throughout the campaign, edging out Greece who had to settle for the play-offs.
And Bosnia will aim to carry that momentum into their clash with Alejandro Sabella's side in St Louis, as they look to end a superb year on a high.
The performances of strikers Edin Dzeko and Vedad Ibisevic helped inspire Bosnia to the finals, with the duo scoring 18 of their nation's 30 goals in qualification.
And they will need to be at their best if they are to break down an Argentina side that lost just twice as they finished top of the Conmebol qualification group.
Sabella's team are set to make their 11th consecutive appearance at the World Cup finals next year, and go into the game on a run of just one defeat in their last 11 internationals.
But the South American outfit will be without their main talisman for the encounter, with Barcelona attacker Lionel Messi unavailable because of a hamstring injury.
Messi finished qualifying as Argentina's top scorer in qualification with 10 goals, but it will be up to the likes of Napoli striker Gonzalo Higuain and Manchester City forward Sergio Aguero to fill the void after they drew a blank in the 0-0 draw with Ecuador on Friday.