But no side have made more to win in the fourth innings of a Test than the West Indies' 418 for seven against Australia at St John's, Antigua, in 2003.
Thereafter, Pujara reached his 18th Test half-century, his first in six innings, off 147 balls.
A day after taking 5-28, Hardik Pandya smashed an unbeaten 52 off 52 balls before India declared on 352-7 late on day three. This is the reason why England went wicketless in the first session as India stamped their authority on the match.
Kohli scored 103 runs which came off 197 balls with 10 breathtaking boundaries.
Captain Kholi and Pujara showed no mercy however and set out to suck the life out England's attack, and Pujara brought up a well deserved fifty as India's lead crept up to 350.
Nevertheless, Buttler had a measure of satisfaction that in his 38th Test innings and four years after his debut, when he made his previous highest score at this level of 85, against India at Southampton, he had finally reached three figures.
Adil Rashid bowled, with credit, with 3/101, but on a relatively uninspiring day of test cricket, it's inevitable India will make the five-match series 2-1.
Jos Buttler and Ben Stokes were therefore plunged into the crisis without a run between them, with England perhaps already effectively five down if they decide not to risk Jonny Bairstow - who suffered a fractured finger on Monday - in hopeless circumstances.
But Kohli failed to capitalise on the chance as he was trapped lbw by Chris Woakes (1/49) soon.
"I didn't score too many runs this season, but in County, I felt I was batting well and had been in good touch too".
"Although we are a long way behind", England assistant coachPaul Farbrace said, "we showed real effort and it was important not to lose any wickets this evening".
Day 4 of the third Test between India and England will start at 3.30pm IST.
# Wicket! Mohammed Shami moves the ball away from Ollie Pope, He flashes his bat and edges the ball to Virat Kohli, who takes a brilliant catch at third-slip.
It was a sturdy innings by Pujara, registering a disciplined 72 to ease the pressure off his counterpart Kholi.
The batsman has been billed as one of India's best players of swing in the squad but struggled in the warm-up and endured a lean run in County cricket with Yorkshire.
The consolation was that England hope Bairstow will be able to bat when he is inevitably badly needed at some point over the final two days.
Bumrah could have jolted England in the next couple of overs with the wicket of new man Buttler for a duck had Pant not dropped a regulation catch behind the stumps.