World number 145 Paula Ormaechea will lead the team. She recently made the final of a WTA claycourt tournament in Bogota.
Maria Irigoyen (203), Florencia Molinero (239) and Mailen Auroux (328) have also been named by captain Bettina Fulco for the tie in Buenos Aires.
The same quartet lost February's clash with Sweden 3-2 to fall into the World Group II play-offs. The winner of the tie will play in World Group II - effectively the second division of the competition - in 2014.
Ormaechea and Molinero had put the Argentines 2-0 up on day one of that tie but both lost their reverse singles before Irigoyen and Auroux were beaten in the decisive doubles.
Argentina have chosen the clay of Parque Roca to host the tie and hope the surface will enable them to cover gaps in the rankings.
GB will be led by Laura Robson, the world number 39, while both Johanna Konta and Anne Keothavong are ranked higher than three of Argentina's players.
The fourth member of the GB team, Elena Baltacha, is currently ranked outside the top 200 but only because she has missed the last eight months due to a foot injury. Baltacha has previously been a top-50 player.