India require 103 runs in the final session of the third Test, having bowled Australia out before tea.
The Tourists were taken for 223 on the final day in Mohali, leaving the hosts chasing 133 to claim the victory.
Murali Vijay (19) and Cheteshwar Pujara (10) currently occupy the bat, with India 30-0 in their second innings of the match, with more than 20 overs remaining.
India pummelled Australia in the day's opening session, throwing as many as 46 overs at the visitors, but Brad Haddin and Mitchell Starc remained strong at the crease before falling for 30 and 35 respectively.
Bhuvneshwar Kumar and Ravindra Jadeja helped themselves to three wickets apiece while Ravichandran Ashwin and Pragyan Ojha have taken two each.
Phillip Hughes top-scored for the tourists with the bat, having claimed 69 runs which included 11 fours and a six.