India's paceman Ishant Sharma (2nd L) celebrates with teammates the dismissal of Australia's batsman Travis Head during day five of the first Test cricket match. Photograph:( AFP )
Marsh has reached his half-century while Paine is playing at 13, taking Australia's score to 150 for the loss of five wickets after 68 overs.
Australia lost just two wickets to finish 186 for the loss of six wickets at lunch.
Earlier, Australian batsman Shaun Marsh and skipper Tim Paine were battling hard on the fifth and final day of the first test match at Adelaide Oval on Monday, before Bumrah broke Marsh's resistance at 60.
On day 4, Indian spinner Ravichandran Ashwin and paceman Mohammed Shami combined to tear through Australia's top order and bring India in a commanding position.
Shaun Marsh was 31 not out and Travis Head on 11, the pair fighting a desperate rearguard action to nudge Australia to 104 for four at stumps on day four, still 219 runs short of their victory target of 323.
Australia will need to defy history to chase down the total and survive the wiles of Ashwin on a fifth-day pitch.
The highest successful run chase was in 1902, when the hosts scored 315 for six to beat England.