The 30-year-old is in line to surpass the likes of Ken Barrington (6,806), Ross Taylor (6,839) and Dilip Vengsarkar (6,868) in terms of career Test runs.
Kohli (26) needs one century to equal the likes of Steve Smith and Gary Sobers in terms of career Test tons (27).
Pujara, Rahane and Rohit in sight of these feats
Cheteshwar Pujara has 18 career Test tons. He needs one more to equal several top stars including Mark Taylor, Clive Lloyd and Mike Hussey.
Vice-captain Ajinkya Rahane needs 30 more runs to surpass the tally of Ravi Shastri (3,830).
He needs one ton to equal Shastri's feat of 11.
Rohit Sharma needs 123 runs to overcome Yuvraj Singh's Test career tally of 1,900 runs.
List of records in sight for Proteas players
SA skipper Faf du Plessis (3,676) needs just 39 runs more to get past the tally of Hansie Cronje (3,714 runs).
Quinton de Kock (2,509 runs) has to score just 24 runs to get past the tally of Jonty Rhodes (2532).
Aiden Markram needs 98 runs to surpass the 1,500-run tally in Tests.
Keshav Maharaj needs one wicket to get to 100 Test scalps.
India aim to win fourth successive Test match
India, who are leading the ICC World Test Championship with 160 points, have a chance to extend their tally. India will also be aiming to win their fourth successive Test in a row. They are also in line to win a third successive Test series.