In response, the visitors were 51/4 on a rain-hit third day with questions being raised about batters' technique and the quality of bowling, save for Bumrah.
The Delhi pacer is likely to make his debut in the Mumbai Test.
Indian batters, with the exception of Yashasvi Jaiswal (84), faltered yet again to lose the match by 184 runs and trail 1-2 in the five-match series.
Shaheen and fellow quick Naseem Shah led the way, picking up three wickets apiece during a showcase of swing and pace, which accounted for Jake Fraser-McGurk (seven) and Aaron Hardie (12) in the first powerplay.
Mohammed Siraj's hot temper has become a topic of discussion but Australian quick Josh Hazlewood says the Indian pacer is a 'good character' who fires up the crowd.
Cameron Green's injury could open up the door for Cameron Bancroft's Test recall in the marquee Border-Gavaskar Trophy against India next month.
Pat Cummins defends team behaviour, terms Travis Head 'a big boy' who can speak for himself
Skipper Harmanpreet Kaur backed the Indian women's team to regain confidence in home conditions during the three-match T20I series against the West Indies.
Konstas, Marcus Harris and Cameron Bancroft among others are looking to get into the Australian XI as Khawaja's opening partner in the series against India.
Australia skipper Pat Cummins believes that the 2018-19 Test series loss to India was more hurtful than the 2020-21 debacle under his captaincy as the home team was simply outplayed in that engagement.
Smith needs just 315 runs to become the fourth Australian batter after Ricky Ponting (13378), Allan Border (11174), and Steve Waugh (10927) to reach the landmark of 10,000 Test runs.
For Shastri, India's recent successes in Test cricket have often been defined by the stubbornness and resilience of the tail-enders.
Smith has rarely, if ever, doubted his own talent but even he was aware that his spell at the top of the order was proving unpopular.
Pujara could get the selectors' nod if Ajit Agarkar and his team decide to fall back on his experience.
Australia's Steve Smith wants to adopt a proactive approach against Ravichandran Ashwin in the upcoming Border-Gavaskar Trophy.
Rahul will come in place of Baba Indrajith, who scored 9 and 6 and didn't look comfortable at all against pace and bounce, which wasn't exactly 125 clicks.
'Hopefully, I can contribute to what's a successful summer for us.'
both Kohli and Rohit have struggled to find their best form, attracting scrutiny following India's recent 0-3 series loss against New Zealand.
Former Australia opener David Warner on Tuesday said he is willing to come out of retirement and play against India in the upcoming Border-Gavaskar Trophy, if the home team needs him in the opening slot.
'I am pretty happy that Puj (Pujara) isn't here.'
Michael Hussey backed star India batters Rohit Sharma and Virat Kohli and said that one cannot write off champion players like them.
With Kohli and Rohit misfiring, the pressure has mounted on opener Yashasvi Jaiswal and India's middle order to put the kind of scores on the board their bowlers can defend.
Former all-rounder Shane Watson has advised the Australian team to avoid getting into confrontations with Virat Kohli in the Border-Gavaskar Trophy.
With the series locked at 1-1, Brisbane could well decide the course of the rubber and whether Rohit's men would continue to be the master of their fate in the ongoing World Test Championship.
Selectors will likely opt for another batter to cover for all-rounder Green in the India series and possibly an opener if Steve Smith is restored to the number four spot.
The youngsters in the side couldn't have got a better mentor than 'King' Kohli himself to guide them with his words of wisdom.
Mohammed Shami set two records on day 4 of the Perth Test, says Rajneesh Gupta.
Australia head coach Andrew McDonald believes the absence of Mohammed Shami during the marquee Border Gavaskar Trophy next month is a huge loss for India.
They'll wait to make a call with him up until the morning of the Test match, said India's bowling coach Morne Morkel.
Australian quick Josh Hazlewood expressed that India's rare series whitewash at home to New Zealand could "awaken a sleeping giant" as they prepare to take on the ICC World Test Championship table-toppers in the Border-Gavaskar Trophy from November 22 onwards.
Iconic batsman Sachin Tendulkar, on Sunday, joined a host of former players in slamming average rating given to the Perth stadium pitch, saying only such tracks can revive Test cricket.
Ricky Ponting believes the hosts will hold an edge over India in the second Test at the Perth
Australia captain Pat Cummins is expecting the upcoming series against India to be a survival of the fittest.
'You have to respect if the ball's moving, you have to give it to the fast bowlers and just soak in that pressure and wait for your time to score runs.'
Rohit Sharma may just avoid being swayed by the proverbial outside noise and stick to the number six slot for at least the third Test against Australia, starting this weekend.
'It'll be very much a battle again between the very good pace bowling attacks of both sides and how well the top order players of both sides can deal with the ball that will bounce, seam and probably swing a little bit more in the day-night game in Adelaide.'
'I think there was a fair bit of good bowling today. Obviously there was enough in the wicket and it probably felt like it was a hardball wicket.'
Lyon is just 34 wickets away from surpassing Glenn McGrath to become Australia's second-highest wicket-taker in Tests.
Australian batter Marnus Labuschagne described wicketkeeper-batter Rishabh Pant as the most "amusing" player in the Indian team, ahead of the upcoming five-match Test series between the fierce rivals.
'He is someone who has had a big influence on a couple of series. Got to try to keep him quiet.'
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