His father, Hugo Conte, is a former volleyball player who was part of the national team that won a bronze medal at the 1988 Olympic Games.

[2] Conte was also a part of the junior national team that won the 2008 South American Championship, defeating Brazil in the final and breaking a 26–year period without winning the tournament.

[4] During that year, Conte also helped Argentina finish third at the U21 World Championship, the country's best position in the history of the tournament.

[5] In 2010, Conte participated at the World League, but this time Argentina was unsuccessful, losing all 14 games.

In September of that year, Conte was selected by coach Javier Weber to participate at the World Championship.