Vargas began his career at the Victorian Premier League side, Springvale City, where he debuted at the age of 17 under Gus McLeod. After three seasons with Port Melbourne, at the age of 21, he was recruited by National Soccer League side Melbourne Knights FC.
Vargas's early career involved playing for Springvale City in the Victorian Premier League and later joining the National Soccer League team Melbourne Knights FC after a period with Port Melbourne.