Internationally, they have played in the Copa Libertadores four times, reaching the Round of 16 once in 2002.

In the year 2000 they became the first club in the history of the Ecuadorian Serie A to win a league title that does not come from Quito or Guayaquil.

As of 2021, Olmedo is going through an economic crises that made them officially bankrupt and could be dissolved at the end of the year.

Note: Flags indicate national team as defined under FIFA eligibility rules; some limited exceptions apply.

The following players were chosen to represent their country at the FIFA World Cup while contracted to Olmedo.