They are also known as Socinians, after Laelius Socinus, an Italian who was influenced by Servetus and whose nephew Faustus Socinus traveled to Poland and became prominent in the movement.
Neid tunti ka kui sotsiniaane – see nimi võeti kasutusele itaallase Laelius Socini järgi, kes oli mõjutatud Servetist ning kelle vennapoeg Faustus Socini reisis Poola ja sai seal selle liikumise tuntud tegelaseks.