The 34-year-old Contepomi missed the Pumas' 43-8 victory over Romania after he sustained what appeared to be a potentially tournament-ending rib injury in the tight 13-9 loss to England in Dunedin in their opening match on September 10.
He returns to his preferred inside centre role, with Martin Rodriguez moving back to fullback after he played there against Romania.
Santiago Fernandez remains at flyhalf for the match, which is likely to determine which team finishes second in the pool with leaders England playing Scotland next week.
The side is virtually the same that started the match against England, with only centre Gonzalo Tiesi the only player not named after he suffered a knee injury that ruled him out of the tournament in that match while Contepomi and Fernandez have swapped positions.
Team: 15-Martin Rodriguez, 14-Gonzalo Camacho, 13-Marcelo Bosch, 12-Felipe Contepomi (captain), 11-Horacio Agulla, 10-Santiago Fernandez, 9-Nicolas Vergallo, 8-Juan Martin Fernandez Lobbe, 7-Juan Manuel Leguizaman, 6-Julio Farias Cabello, 5-Patricio Albacete, 4-Manuel Carizza, 3-Juan Figallo, 2-Mario Ledesma, 1-Rodrigo Roncero
Replacements: 16-Agustin Creevy, 17-Martin Scelzo, 18-Mariano Galarza, 19-Genaro Fessia, 20-Alfredo Lalanne, 21-Lucas Gonzalez Amorosino, 22-Juan Jose Imhoff