Lia, who had scored four career goals prior to Friday’s match, added two more with goals either side of half-time at Adelaide Oval.
Both of the 32-year-old’s goals were stunning long-range strikes.
“I don’t get a lot of time usually for goals, so to get two in one game is a bit of a shock,” Lia told Fox Sports.
“But more importantly a point for our team.
“We spoke before the game and I said I don’t get many shots on goal.
“I think I had two shots and got two goals. It’s pretty rare.
“I don’t know if it’ll happen next week, so I’ll enjoy it.”
Lia left Wellington Phoenix in the off-season and spent time without a club, before joining Adelaide, having sent emails to a number of A-League clubs.
“It was tough initially,” he said. “There was a couple of months where I was at home, not really knowing what was next.
“Luckily Adelaide became available and I came here and trained for a week. Marco liked what he saw.
“It’s been tough. It was a tough pre-season but I managed to get through that.
“That was my main goal at 32, to set myself up for a big year. I knew the squad was so strong and I’d have to fight my way into the team.
“I’ve done that and hopefully I can stay there.”