Omladič started his career his hometown club Šmartno. As a youngster he moved to nearby Rudar Velenje. He made his Rudar debut on 29 October 2006 in the 2. SNL tie with Dravinja. Omladič began to establish himself in the Rudar first team during the 2006–07 season, making 15 appearances and scoring one goal. Following season he was regular in the midfield, making 24 appearances and scoring 3 goals. Rudar was first in the 2. SNL and won promotion to the PrvaLiga. In his first season in Slovenian top division Omladič made 31 appearances and scored 1 goal. On 29 January 2010 it was announced that he signed a contract with Olimpija.