Smith may lead Asutralia in the fourth and final Test against India as regular captain Pat Cummins stays put in Sydney.
Rohit will lead Indian in the two-Test series in the West Indies and then perhaps sit with BCCI and decide on his future in traditional format.
Australia racked up 469 in their first innings and then reduced India to 151/5 to put themselves in the box seat in the World Test Championship final.
Ferguson, who will need five to six weeks to recover, is returning to New Zealand and a replacement for him will be named on Tuesday, coach Gary Stead told reporters on Monday.
'Selectors should have a clear idea about him (Pujara). Do they need him to play Test cricket anymore or do they want to continue with youngsters and communicate it to him. Somebody like Pujara can't be dropped, then picked, dropped again and then picked. Same with Ajinkya Rahane also.'
ECB rotation policy became a hot topic in world cricket when they did not travel to India with their full strength squad earlier this year
Jasprit Bumrah will definitely be a part of India's plans for the T20 World Cup but there is not clarity on the T20 future of Rohit Sharma and Virat Kohli.
Shastri posted a photo of himself having a conversation with batsman Shubman Gill on Twitter
KL Rahul's tactical acumen will be tested along with his batting prowess when a depleted Indian team clashes with a tricky Bangladesh
While a draw always seems a safe option in a game like this but Kohli and coach Ravi Shastri wouldn't like to play a defensive game which at times can be counter-productive.
Young prodigy Yashasvi Jaiswal is considered the frontrunner to make his Test debut in the West Indies, but there are other options in Ruturaj Gaikwad and Shubman Gill.
Sehwag took a funny jibe at the ICC for hosting the World Test Championship final in the UK
Ashwin moves up to joint fourth, Iyer jumps 10 spots to be 16th
Former West Indies pacer Ian Bishop said Jasprit Bumrah's career can only be managed by picking and choosing tournaments amid the relentless schedule.
Australian great Allan Border is mighty impressed with Pat Cummins' captaincy but said the upcoming four-Test series against India will be his real "acid test and the final frontier".
Virat Kohli-led India had a grind in the nets
The charge was levelled by on-field umpires Bruce Oxenford and Paul Reiffel, third umpire Paul Wilson and fourth umpire Gerard Abood.
The Indian players are currently on a break and will reassemble on July 14.
Yashasvi Jaiswal presented a heady cocktail of patience and flair on debut but India's expected series win over West Indies will not serve as an accurate parameter.
At first there are giggles, followed by awkward small talk before things get professional.
Former Australian pacer Brett Lee has highlighted the different styles of the captaincy of Virat Kohli and Kane Williamson ahead of the ICC World Test Championship final later this month.
'Better team won in the conditions. Deserved winners...'
Smith said the IPL has helped him get used to play alongside rival international players and he is eager to play alongside Cheteshwar Pujara, who has been leading Sussex this season.
India might have lost the inaugural ICC World Test Championship against New Zealand but former all-rounder Mohinder Amarnath believes skipper Virat Kohli has done a 'fantastic job' and it is important that he continues to lead the squad.
It was also decided that a pool of 20 players will be rotated till the 2023 World Cup.
Ravichandran Ashwin tore through Australia in their second innings to set up a comprehensive victory for India by an innings and 132 runs inside three days of the spin-dominated opening Test.
Virat Kohli-led India beat New Zealand by 372 runs in the Mumbai Test on the fourth day after drawing the opening match in Kanpur, to win the series 1-0.
Senior pacer Ishant Sharma said that the Test series win over Australia earlier this year gave the Indian team a different kind of self-belief.
Winston Lee is a cocker spaniel who has taken to India's head coach.
India head coach Rahul Dravid conceded that his team needs to do better at maintaining over-rate after being docked one WTC point following the first Test against South Africa, in Centurion, though he felt "leeway" can be given in certain cases.
Images from Day 1 of the first Test between India and the West Indies in Dominica, on Wednesday.
The first half an hour saw only 5 runs being scored and that showed the determination in both Taylor and Williamson's approach. While Jasprit Bumrah could have bowled slightly better in the conditions, Shami and Ishant kept trying to add to the tension as they maintained a disciplined approach. It was about who breaks first.
The Hambledon Cricket Club, formed in 1765 and was the foremost cricket club in England before Lord's became the home of cricket with the creation of the Marylebone Cricket Club in 1787.
India play their World Test Championship opener against the Windies on Thursday, but captain Virat Kohli will be in a quandary over team selection. Will they play Ajinkya Rahane and Rohit Sharma, or drop either to adopt a five-bowler strategy?
India's head coach Rahul Dravid doesn't regret one bit playing the four-Test series against Australia on spinner-friendly tracks.
The spinner enjoyed a game of darts indoors with Physios Nitin Patel and Yogesh Parmar, and Video Analyst Hari Prasad Mohan.
Kohli had nothing but absolute praise for Jamieson
Jaiswal's 213 off 259 balls was well complemented by opener Abhimanyu Easwaran's 154
England on Thursday suffered an embarrassing 10-wicket defeat in the third Test against India on a spin-friendly Motera track to go down 1-2 in the four-match series and the result garnered varied reactions from the British media.
India Head Coach Rahul Dravid said that "targeted" players for the ODI World Cup will be playing the IPL as it will help them assess their T20 skills.