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