Avlijaš made his first senior appearance with Bosna in the
1988–89 season, initially playing sparingly before gaining more experience in subsequent campaigns. During his time with Bosna, he played both in the domestic league and had dual licensing stints with
Borac Čapljina, being part of the Bosna squad that reached the semifinals of the
FIBA Korać Cup. Injuries in the early 1990s, compounded by the outbreak of conflict in Bosnia and Herzegovina, influenced his move to Serbia in 1992. In 1992–93, Avlijaš joined
Metalac Valjevo before moving to Germany to play with
UBC Münster for the 1993–94 season. He then returned to FR Yugoslavia with
Jedinstvo Bijelo Polje for the 1994–95 season and subsequently
OKK Beograd (1995–97), where he became one of the leading scorers in the team. He later played for
Radnički Beograd from 1997 to 1999, and finished his career in various European leagues from 1999 to 2005, including stints in Israel, Poland, Portugal, and other competitions. == International career ==