 This was an era in which the club's players generally held down other jobs or were still in education and when the town's amateur rugby union and volleyball sides, Rugby Parma F.C.1931 and Ferrovieri Parma, proved more popular among the more privileged.Parma made its debut in European competition during the 1960–61 season, defeating Swiss side AC Bellinzona in the Coppa delle Alpi, but relegation to Serie C followed in 1964–65 season.