After taking first place in the 1500m at the World Championships in 2022, the Scot has struggled with a variety of foot, shin, and hamstring problems.
Earlier this month, he returned to action at a Boston indoor event.
In Melbourne, Australian Stewart McSweyn defeated Wightman, 29, by a close margin in three minutes and fifty-two seconds.
Wightman won a bronze medal at the Commonwealth Games and a silver at the European Championships in the same year that he unexpectedly won the gold in the Worlds in Eugene, Oregon.
However, he made the decision to put his health first rather than defend his 1500m title in Budapest last year after suffering a stress fracture.