Thisaru turned in an all-round performance as hosts M Pallonji defeated GC Stars by five wickets in the inaugural match of the third edition of their cricket tournament.
The hosts regain the Border-Gavaskar trophy
The left-handed all-rounder scores a crucial fifty and claims three wickets.
The hosts still trail by 52 runs with four wickets in hand.
The visitors squandered a promising start to be bowled out for 300.
The top Indian official had resigned earlier this month, citing personal reasons.
The teams will now head to Dharamsala for the final match from Saturday.
Australia are still 129 runs behind and under considerable pressure to save the match.
India still trail the visitors by 91 runs in their first innings.
Murali Vijay on 42 and Cheteshwar Pujara on 10 were batting at the close of play.
The Indian captain hurt his right shoulder while fielding and went off in the afternoon session.
Home captain Virat Kohli injured his shoulder while diving to save a boundary.
The Indian cited personal reasons for resigning after just eight months of his two-year term.