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The visiting skipper Eoin Morgan raised the issue earlier, after the dismissal of batsman Joe Root in the game's final over.
At the end of a gripping game, India’s losing record in T20Is at VCA Stadium ended in the second match against England.
The hosts made a solitary change to the team with Ajinkya Rahane replacing opener Shikhar Dhawan, whose form has been patchy.
Kohli led from the front with a typical 122 off 105 balls with Kedar Jadhav stepping up too, scoring 120 off just 76 deliveries.
Kohli and Jadhav rattled up a sensational 200-run partnership to set up the platform after England set the hosts a stiff 351-run target.
Virat Kohli is now India's skipper across all formats after MS Dhoni relinquished his ODI and Twenty20 captaincy.
England were 167/4 in their second innings at tea on the final day of the fifth cricket Test against India.
Joe Root's classy 88 and Moeen Ali's unbeaten century (120 batting) helped England recover from 21 for 2 and post a modest 284 for 4.
Even as Cook struggled with both his batting and captaincy, a dominant India took an unassailable 3-0 lead heading into the fifth and final Test here.
Asked about the air of invincibility surrounding the team ahead of the fifth Test starting tomorrow, Kohli replied in the negative.
Buttler, who was dropped a year ago, is in line to be recalled in the Test squad for the third match against India.
Murali Vijay is still hopeful that the Indian spinners will utilise the spin-friendly conditions on the final day.
India finished 49 runs behind England’s first innings total of 537 at tea, as India put up a remarkable performance.
There was something to cheer for Indian fans coming to the Rajkot's Saurashtra Cricket Stadium (SCA) stadium grounds at last.
With less than 24 hours to go, BCCI threatened to cancel the first Test against England if accounts remained frozen.