They will, however, only be able to join their respective franchises after Australia play their lone T20 match against Pakistan on April 5.
India and Australia will play the second Test at the Ferozshah Kotla from Friday and it is to be seen if Iyer is able to join the team.
Australia took 90 minutes to complete formalities, with Michael Neser and Mitchell Starc sharing five of the last six West Indies wicket.
Images from Day 1 of the third Test between Australia and India at the SCG, on Thursday.
Images from Day 1 of the second Test between Australia and India, at the Melbourne Cricket Ground, on Saturday.
India were 36 for one at stumps, with debutant Shubman Gill 28 not out and Cheteshwar Pujara on seven after the loss of opener Mayank Argarwal for a duck, after dismissing Australia for 195.
Australia were bowled out for 195 on the opening day of the Test with pacer Jasprit Bumrah and off-spinner R Ashwin sharing seven wickets between them.
Images from Day 3 of the fourth and final Test between India and Australia at the Narendra Modi Stadium in Ahmedabad, on Saturday.
From a lower order batsman to one of Australia's prolific Test run-getters, Marnus Labuschange has carved his spot in the Australian line-up. The highest run-scorer in a calendar year in Test cricket in 2019, 'mind-blowing' Labuschange is now looking to break into the one-day team for the tour of India.
Images from Day 2 in the fifth Test between Australia and England, in Hobart, on Saturday.
Images from Day 4 of the third Test between Australia and New Zealand in Sydney on Monday.
Saini limped off the field due to groin pain and was taken for the scans.
Australia completed a six-wicket victory within two days in the first Test against South Africa on Sunday as the Proteas crumbled on a green Gabba wicket that played straight into the home bowlers' hands.
Australia are on the cusp of a series victory in Sri Lanka and captain Pat Cummins believes the exposure to sub-continental conditions augurs well for their next big target of winning a Test series in India next year.
While Kohli has slipped to 10th on the ICC rankings, the Indian great continues to hold a remarkable Test batting record. He has scored 27 Test centuries and 28 half-centuries and currently has a Test batting average of just under 50.
Travis Head smashed a T20-style century to put Australia firmly in control of the first Ashes Test on Thursday as England were hit by an injury crisis during a miserable day two in the field at the Gabba.
Smith has managed just 10 runs in the first two matches, while Labuschagne could not capitalise on the starts
'I'll definitely talk to the likes of Usman Khawaja and Joe Burns to get a gauge of (the Pakistani bowlers') skills and the way they go about their games'.
England were spared the ignominy of the follow-on but Australia appeared on course for victory after dominating day three of the day-night second Ashes Test at the Adelaide Oval on Saturday.
India will be hoping to repeat their success of two years ago when they registered their first-ever Test series win in Australia, while the hosts would be keen to avenge that loss.
Rohit Sharma, Virat Kohli, Cheteshwar Pujara, Mohammed Shami and Ravindra Jadeja could do with a break, which will allow India to try out new players in the Caribbean.
David Warner retired on 200 after tea in cramped-up exhaustion after tormenting the Proteas in a Melbourne Cricket Ground furnace, quashing all debate about his place in the side.
Babar smashed an unbeaten 105 and opener Imam-ul-Haq made 89 not out
'When you don't score runs in India, obviously you will get flak. KL Rahul hasn't been the only one'
Siraj was rewarded for his tough decision as he took two wickets on an emotional debut to help India bowl Australia out for 195
Jhye Richardson will replace injured paceman Josh Hazlewood but opener David Warner has been cleared to play against England in the second day-night Ashes Test.
Travis Head struck a belligerent half-century to give Australia the upper hand on day one of the series-opening Test against South Africa after the home side's bowlers dominated on a green Gabba wicket on Saturday.
After picking two wickets earlier, Bumrah capped an eventful day by facing 11 balls as the nightwatchman, ducking cleverly and blocking confidently to end with his wicket intact at stumps on Day 2.
'Let's see what happens tomorrow. The plan is to bowl in one tight channel and build pressure.'
Steve Smith made 105, his 12th ODI century, to help Australia overcome a sluggish start
Images from Day 4 of the third Test between Australia and India, at the SCG, on Sunday.
Australia were all out for 263 on Day 1 of the second Test at the Arun Jaitley stadium in Delhi, February 17, 2023.
Sri Lanka's Chamika Karunaratne picked up three wickets, including the crucial one of Glenn Maxwell, to trigger an Australian collapse as the hosts won the rain-hit second one-day international by 26 runs.
Cameron Green braved cramps to smash a career-best 89 not out and secure Australia's nervy two-wicket victory against New Zealand in the opening one-day international in Cairns on Tuesday.
The Indian batters will have to put their best their foot forward against Australia in the series-deciding third ODI in Chennai on Tuesday.
'...according to me Australia should have gone to India earlier. The preparation was not up to the mark at all. If you couldn't go to India, you should have gone to the UAE at least to prepare for a tour like this.'
Hardik Pandya's leadership skills and India's overall World Cup preparedness will be under focus
India have managed to keep a tight rein on Smith.
Sridharan Sriram, who played eight ODIs between 2000 and 2004, was part of the Australian coaching set up since 2015.
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