Argentina may be heading home in disgrace, but the government wants to honour striker Gabriel Batistuta.
Veteran striker Batistuta announced his retirement from international football following Argentina's exit from the World Cup.
Batstuta has scored 56 goals for Argentina, including the winner in their opening Group F game against Nigeria.
The Argentine government is keen to acknowledge his contribution to the national team by staging a friendly match.
Tourism and Sports minister Daniel Scioli said: "I will telephone Batistuta to propose the idea to him.
"He deserves all the recognition of the Argentine people."
A similar game was staged last November to honour Argentine legend Diego Maradona.
Mauricio Macri, president of Batistuta's first club Boca Juniors, has promised to make their stadium available for the match.