Australia slipped to 75-3 in their second innings at stumps on day four against India in Chandigarh, still 16 runs behind.
Seam bowler Bhuvneshwar Kumar took 3-25 with the new ball in the evening session after India had claimed a first-innings lead of 91.
David Warner (2), Ed Cowan (8) and Steve Smith (5) all fell cheaply before nightwatchman Nathan Lyon (4no) survived the final seven overs of the day alongside Phil Hughes.
Hughes, who had scored 27 runs in five previous innings during the series, brought up a run-a-ball half-century with nine fours and a six and was 53 not out at the close.
Skipper Michael Clarke batted at number three in the first innings but dropped back down the order due to a sore back.
India had earlier turned their overnight position of 283-0 into a total of 499 all out.
Opener Shikhar Dhawan, who raced to an 85-ball debut century the previous day, added only two runs to his total before off-spinner Lyon (1-124) had him caught by Cowan at silly point for 187.
Murali Vijay, on 83 overnight, advanced to his third Test hundred before Australia - led by seamer Peter Siddle with 5-71 - fought back.
Siddle trapped Cheteshwar Pujara lbw for one and Sachin Tendulkar (37) gloved occasional leg-spinner Smith's first delivery of the day to Cowan at short-leg to leave India on 384-3 at lunch.
Vijay went lbw to Mitchell Starc (2-74) for 153 in the afternoon session, sparking an India collapse from 412-3 to 431-7.
Siddle ran through the lower order and Virat Kohli was left stranded on 67 not out when India were all out shortly after tea.
Australia trail 2-0 in the four-match series and are without four players - Usman Khawaja, Mitchell Johnson, James Pattinson and Shane Watson - for disciplinary reasons. The quartet were not considered for selection in Chandigarh after failing to complete a feedback assignment from coach Mickey Arthur.
Watson, the vice-captain, has since returned home for the birth of his first child and it is unclear if he will return for the final Test after saying he was considering his future.