In the 2018–19 season, the club was relegated to
Tercera División by finishing 18th in the Segunda División B, Group 3.[2] Conquense had only 3 away victories and 15 losses, the 4th worst result in the league.[3] In June 2019, Nacho Alfonso was appointed head coach of the club.[4] With him, the club had a good start to the season, being just 4 points behind the leader after the first 15 matches.[5]