2024 Though he did not play any minutes, Rulli was a member of the Argentina squads that won the 2022 FIFA World Cup and the 2024 Copa América.
2024 Rulli also competed for Argentina at the 2024 Summer Olympics.
2020 In 2020, he joined Villarreal staying at the club for two-and-a-half seasons, winning the UEFA Europa League in 2020–21.
2018 He made his international debut in 2018 against Guatemala in a 3–0 friendly win.
2016 He featured for Argentina in the 2016 Olympic tournament in Brazil.
2013 Rulli joined Estudiantes's youth team in 2009, making his professional debut for them in 2013.