Cheteshwar Pujara and skipper Virat Kolhi were batting on 20 and 4 respectively at lunch while Archer had figures of 2 for 25.
Pacer Jofra Archer consolidated England’s position, removing both openers as India went to lunch at 59 for 2 in reply to hosts’ mammoth first innings score of 578 in the opening Test here on February 7.
Cheteshwar Pujara and skipper Virat Kolhi were batting on 20 and 4 respectively at lunch while Archer had figures of 2 for 25. The home team lost opener Rohit Sharma (6) early, edging one to Jos Buttler after Archer got the ball to move a shade along with extra bounce.
India suffered a second jolt when the young Shubman Gill (29, 28 balls, 5 fours) was brilliantly caught by veteran James Anderson at mid-on when he failed to keep the on-drive down.
Earlier, England posted a mammoth 578 in their first innings, losing the last two wickets in the morning session while adding 23 runs to the overnight score.
Dom Bess (34, 105 balls, 6 fours) was the first to go, trapped leg before by Jasprit Bumrah with one that angled in sharply.
No. 10 Jack Leach (14 not out) and No.11 James Anderson (1) prolonged the England innings by five more overs before the latter was bowled when he failed to connect a slog-sweep off Ravichandran Ashwin.
Ashwin, who bowled 55.1 overs, the most by him in an innings so far, finished with 3 for 146 for his efforts while Bumrah also ended up with three wickets for 84 runs from his 36 overs. Ishant Sharma (2/52) and Shahbaz Nadeem (2/167) took two wickets each.
Skipper Joe Root’s marathon 218-run knock was the cornerstone of England’s massive total on a docile pitch after the visitors opted to bat on winning the toss.
Opener Dominic Sibley (87) and Ben Stokes (82) were the other major contributors.
England ended day two at 555 for eight, with Root leading the way with a marathon effort of 218 (377 balls, 19 fours, 2 sixes) and sharing two massive partnerships with Sibley and Stokes.
Root also became the first cricketer to score a double hundred in his 100th Test.
Scoreboard at lunch on the third day of the opening Test:
England 1st Innings: 578 all out
India 1st Innings: Rohit Sharma c Buttler b Archer 6 Shubman Gill c Anderson b Archer 29 Cheteshwar Pujara batting 20 Virat Kohli batting 4
Extras (B-0, LB-0, W-0, NB-0) 0
Total (2 wkts, 14 Overs) 59
Fall of Wickets: 19-1, 44-2 James Anderson 4-0-17-0, Jofra Archer 5-0-25-2, Ben Stokes 3-1-9-0, Jack Leach 1-0-6-0, Dominic Bess 1-0-2-0.