The Victorian side trailed 2-0 after 25 minutes but battled back to record a second consecutive draw at the start of the new A-League season.
The stalemate moved Adelaide to the top of the table after their victory over Perth last time out.
Adelaide boss Josep Gombau will be disappointed his team did not make it two wins from two, however, after a hotly-disputed penalty from Sergio Cirio and a Jeronimo tap-in put them in complete control midway through the first half.
But the visitors hit back with two late goals.
Brazilian Guilherme Finkler gave them hope with 11 minutes to go before Troisi crashed home a dramatic equaliser with just seconds remaining.