Information about the family is scarce. In 1343 was recorded certain Gojslav, son of a person called Prodi de Saucichorum in the Klis županija. Some historians also assume that nobleman Domald of Sidraga (c. 1160–1243) was a member of the family, but this cannot be reliably proven.[3]
A member of the tribe in the first half of the 14th century was Nelipac (generationis Suadcich), the head of the Nelipić family of Cetina, which is a cadet branch of the Snačić family.[3]
In all likelihood, the Snačić family went extinct patrilineally after the death of Ban Ivan III Nelipić in 1435, and their heirdoms were given by king Sigismund to Matko and Petar Talovac.[3]