However, the two parties now look to have reached a solution after the UAR released a statement saying the Pumas would be playing their upcoming matches.
"The Argentinian Rugby Union inform that the national teams will play all their international duels," said the statement. "We will keep on working all together for the good of Argentinian rugby."
Wales in Argentina 2006
Argentina v Wales - Sun 11/06/2006 18:30 BST Puerto Madryn S4C
Argentina v Wales - Sat 17/06/2006 19:30 BST Buenos Aires BBC Wales