The Salisbury Inter Soccer Club began as an idea from a group of young men playing soccer in the Town Square of Salisbury (now the Salisbury Interchange) who wanted to create their own club. A few of the guys formed a committee with Sam Cenatiempo voted as the first President, Laurie Daminato Vice President, Peter Leonello Secretary and Steve Bivone Treasurer. Sam had the continental shop near the interchange and Laurie had the barber shop in Salisbury Arcade.

Many suggestions for a name for the new club were put forward, with the most popular being the Salisbury Garibaldi Club. However, whilst driving into Adelaide to submit the legal Incorporation papers for the new club, several members of the committee discussed the fact that although the committee were mostly of an Italian background, the group of players came from many countries, including Ireland, Scotland, England, Yugoslavia, Italy, Greece and Holland. They resolved to name the club to reflect the international flavour of the people forming the new identity and hence the birth of our beloved Salisbury International Soccer Club. The committee adopted the colours and logo of the famous Italian soccer club, Inter Milan, which was at the time, European Champion.

Inter debuted in the second division of the South Australian Amateur Soccer League in 1968 with our home ground being Happy Home Reserve, Salisbury. In our inaugural year we achieved a very respectable second and advanced to the first division. In 1969 with players such as Sam Mendolia, Paul Daminato, Benny Vette, Colin Hull, Colin Jones, Bepi Zanin and George Urosevic Inter was able to maintain Division 1 status.