After Pampas XV won the Vodacom Cup, Tuculet was selected for Los Jaguares (Argentina A; not to be confused with the Super Rugby team) for the IRB Nations Cup in Romania and was the teams fullback.

Tuculet played for Argentina in the IRB Junior World Championship in 2008 in Wales and 2009 in Japan, featuring for Los Pumitas in matches vs Fiji, Ireland, New Zealand and Uruguay as the teams fullback.

[citation needed] Joaquín was part of the Argentina squad that competes in the Rugby Championship.

In September 2020, Tuculet retired from Los Pumas one day after bringing an end to his contract with the Unión Argentina de Rugby.

[2] During early October 2020, the Canadian rugby union team Toronto Arrows signed Tuculet making him the third Argentine to form part of the team along with Tommy de la Vega and Manuel Montero.