The duo have added 81 in 14.3 over for the unbroken fifth wicket and India still 225 runs behind, to make England bat again.
After the loss of openers in the previous session, India lost two more quick wickets as the pitch showed signs of wearing, with the ball stopping, drifting and bouncing, giving good purchase for spinners, especially off spinner Dom Bess, who accounted for both skipper Virat Kohli (11, 48 balls) and his deputy Ajinkya Rahane (1, 6 balls) in a span of ten deliveries.
Kohli was drawn forward to a flighted delivery from Bess which bounced and the inside edge was held by Ollie Pope at forward short lead and Rahane was undone by a superb catch by England skipper Joe Root, who dived full stretch to his left to take an one handed catch at covers as India were in deep trouble at 73 for four.
However, Pant, undeterred by the situation, counter attacked and targeted the spinners, especially left armer Jack Leach, hoisting him for four sixers, with Pujara too taking on him scoring 23 off 20 balls in his 53.
It was an entertaining session as both Pant and Pujara went hard at the spinners in their own different ways, to out some pressure on the bowlers, with Root using his spearheads James Anderson and Jofra Archer in short spells.
Following is the scoreboard:
England (first innings): 578.
India (first innings):
Rohit Sharma c Butler b Jofra Archer 6
Shubman Gill c James Anderson b Jofra Archer 29
Cheteswar Pujara (batting) 53
Virat Kohli c Pope b Dom Bess 11
Ajinkya Rahane c Root b Dom Bess 1
Rishab Pant (batting) 54
Total: 154 for four in 41 overs.
Fall of wickets: 1-19, 2-44, 3-71, 4-73,
James Anderson 9-3-21-0
Jofra Archer 10-2-37-2
Ben Stokes 3-1-9-0
Jack Leach 6-0-59-0
Dom Bess 13-1-28-2 (UNI)