Rohit's 162-run partnership with Ajinkya Rahane dragged the hosts back into the contest, before England dismissed both in the final session.
While Stokes's availability comes as a welcome boost to England's bowling department, they will not be able to call upon first-choice spinner Jack Leach, who suffered a stress fracture in his back earlier this month.
England cemented their position by finishing day two on 202-5 riding fifties by Ben Duckett and Harry Brook.
Images from Day 4 of the first Test between India and England, at the M A Chidambaram stadium, in Chennai.
The West Indies were 71 for 1 at stumps in their first innings on Day 2 at Kensington Oval, 436 runs behind England, for whom Joe Root (153) and Ben Stokes (120) made contrasting centuries.
After Ben Stokes enforced a follow on, New Zealand left the England bowlers frustrated on Day 3 of the second Test in Wellington.
'The hardest place to play in the world is India.'
Tendulkar also felt that Leach doesn't vary his pace a lot which will be required on tracks offer turn.
Monty Panesar feels England would be making a mistake if they don't play the experienced Moeen Ali alongside left-arm spinner Jack Leach in the first Test against India, beginning in Chennai on Friday.
IMAGES from the 1st Test, Day 1 between India and England played at the Rajiv Gandhi International Stadium, Hyderabad, on Thursday
Former England captain Nasser Hussain said that the Indian fans are waiting to put 'Bazball' to bed during the five-Test series against the Three Lions from January 25 onwards and said that Indian spinners and batters will outplay those of England on turning tracks.
India finished the penultimate day on 39-1, still 381 behind the target
Worcestershire bowler Joe Leach claimed a hat-trick with the first three balls of his side's Royal London One-Day Cup match against Northamptonshire on Sunday.
Hosts England dominated the proceedings to take control at the end of Day 1 over visitors Ireland at Lord's.
Usman Khawaja scored his second century of the match to help Australia to 265 for six declared on the fourth day of the fourth Ashes Test on Saturday, handing England an unlikely victory target of 388.
England's Jack Leach fell eight runs short of a maiden Test century as Ireland kept alive their victory hopes on the second day of their historic four-day Test, at Lord's.
Fast bowler Jofra Archer got his maiden Test call up as he was included in England's squad for the Ashes series opener against Australia.
Can the subcontinent giants maintain their 12-year invincibility?
Uncapped young spinner Tom Hartley feels England have taken a 'bit of a punt' by picking him for the Test tour of India.
England take a 1-0 lead in the three-match series.
India opener Rohit Sharma has progressed six places to a career-best eighth position in the MRF Tyres ICC men's Test player rankings after a fine performance in the low-scoring third Test against England in Ahmedabad.
It took a one-word message from England captain Ben Stokes for spin all-rounder Moeen Ali to come out of his Test retirement.
England are thinking of bringing a specialist spinner back into the line-up after going with an all-pace attack in their last two outings, coach Chris Silverwood said as they arrived in Cape Town for their second Test against South Africa starting on Friday. That means a seamer such as record wicket-taker James Anderson or Stuart Broad may be dropped for a contest expected to be played on a much flatter deck than the first Test in Pretoria, which South Africa won by 107 runs inside four days on Sunday.
'He is obviously a bit of a rough diamond.'
The first Test will be played behind closed doors
Nottinghamshire seam bowler Broad was not considered for selection, with his partner expecting their first child towards the end of November.
Images from Day 1 of the third Test between India and England, at the Narendra Modi stadium in Ahmedabad.
England fast bowler Jofra Archer was ruled out of the Ashes series against Australia.
The former England captain expects experienced pacer James Anderdon to be part of England's touring squad for the Test series in India early next year.
Wood was also given a break after the series in the island nation where he went wicket-less in the first Test and took three wickets in the second.
England's batting once again disappointed against Australia on Day 2 of the third Test
England won the first Test by 74 runs before grabbing a 26-run victory in the second to register their first series win in Pakistan since 2000-01, but Stokes said they will press to become the first Test team to complete a 3-0 whitewash in Pakistan.
Matthew Wade's defiant century proved in vain as England bowled Australia out for 263 to win the final Test at The Oval by 135 runs on Sunday and ensure the first drawn Ashes series since 1972.
England were 7-1 at stumps with Ben Duckett (4) and Ollie Pope (3) batting together
India, who have not lost a Test series at home since 2012, finished day two on a commanding 421-7 in their robust reply to England's middling 246 in the first innings.
Bashir, who is of Pakistani heritage, travelled with the squad to Abu Dhabi where England trained before the team arrived in India for the five-Test series beginning in Hyderabad on Thursday.
'To also have the benefit of Joe's bowling out here is obviously massive. I'm surprised he's not actually mentioned he's nipped above me, but I think we're just two people who don't really care about stuff like that.'
The aim is to make a strong start on the final day and put India under pressure.
England beat Sri Lanka by 42 runs in the third and final Test in Colombo, on Monday, to complete a 3-0 series sweep.
Chasing 164 to win, opener Zak Crawley was dismissed in the second session before Dom Sibley and Jos Buttler took the hosts to victory.