Their home stadium is Estadio Alejandro Serrano Aguilar, which was named after former club president and mayor of Cuenca.

Because of the limited number of clubs from the Province of Azuay that have played in the Serie A, Deportivo Cuenca has no major local rivals.

This desire was shaped through Dr. Alejandro Serrano Aguilar (mayor of the city then) and the gentlemen Polivio Vázquez and Alfredo Pena.

As a club the first decisions were taken: the uniform would be red and yellow with a T-shirt to vertical rays, the first Technical Director was Carlos Alberto Raffo, the first contracted foreign soccer players were Rodolfo Piazza, the Paraguayan Luis Martínez who achieved the first team's goal, and Gerald Laterza.

The process began with Argentine coach Daniel Córdoba, who joined the club's Javier Klimowicz, Marcelo Velazco, and national Giancarlos Ramos.

After a successful first stage, halfway through the league, coach Cordoba abandoned Cuenca already qualified for the playoffs and contracted its replacement Julio "Turco" Asad.

The title was secured on December 8 of 2004, with two games left in the tournament, when Deportivo Cuenca with 19.5 points, was unreachable for Barcelona and Olmedo who were runner up.

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