Межамериканский кубок
Olimpia have won a record 45 Primera División titles to date, including a unique record run of winning the league six consecutive times. The only Paraguayan club to win a CONMEBOL title, Olimpia have won three Copa Libertadores, and been runners-up four times, as well as two Recopa Sudamericanas, one Intercontinental Cup, one Copa Interamericana, and one Supercopa Sudamericana, a competition they won automatically in 1991. In 1979 they achieved the rare feat of winning all possible official titles on offer that year. They completed "the quadruple" by winning the Paraguayan championship, Copa Libertadores, the Copa Interamericana and Intercontinental Cup.