The most emotional era of the club was undoubtedly the initial years, when the Conquense began to participate in the competitions.[2] That were the first years of such important players for the club, as Cabrera, Floro, Flecha, Picazo, Bermejo, Florenza, Closed, Aguilar, Bertholet, Ceferino. Forget, Azcona.[3] In the 2018-19 season the club was relegated to Tercera División by finishing 18th in the Segunda División B, Group 3.[4] Conquense had only 3 away victories and total 15 losses (4th worst result in the league) in that season.[5] In June 2019 Nacho Alfonso was appointed head coach of the club.[6] With him the club had a good start of the season, being just 4 points behind the leader after the first 15 matches.[7]