India racked up 518-5 before declaring their first innings and returned to reduce West Indies to 26-1 at tea to tighten their grip over the second and final test between the sides on Saturday.
Opener Yashasvi Jaiswal (175) fell short of a double hundred but there was no respite for West Indies as India captain Shubman Gill made 129 not out to keep the hosts on course for a 2-0 series sweep.
West Indies lost opener John Campbell (10) early in their reply courtesy of B Sai Sudharsan's remarkable reflex catch at forward short leg.
Campbell played a full-blooded sweep shot to a Ravindra Jadeja delivery and the ball hit the grill of Sudharsan's helmet as the fielder was trying to evade the ball before lodging into his cupped hands.
Tagenarine Chanderpaul (13) and Alick Athanaze (two) were in the middle with West Indies still 492 behind.
Earlier, when India resumed on 318-2, the crowd at the Arun Jaitley Stadium was left disappointed as Jaiswal added two runs to his overnight score before being run out after an almighty mix-up with Gill.
Promoted to number five, Nitish Kumar Reddy made a brisk 44, while Dhruv Jurel scored 43 as India surged past the 500-mark.
Gill duly brought up his 10th test hundred, the fifth this year, before declaring the innings immediately after Jurel was clean bowled by West Indies captain Roston Chase.
American great Serena Williams will face Australian 20-year-old Maya Joint in the first round of her eagerly awaited return to Wimbledon, a potentially tricky tie for the seven-time champion playing at the tournament for the first time since 2022.
Australia booked their spot in the knockout rounds of the World Cup on Thursday after a cagey draw against Paraguay, who are set to qualify as a third-placed finisher, while Turkey beat USA 3-2, scoring the winner with virtually the last kick of the match.
The Netherlands scored two goals in the first seven minutes of the first half en route to a 3-1 victory over Tunisia on Thursday night in Kansas City in Group F, while Japan and Sweden drew 1-1 in Texas.
Ecuador coach Sebastian Beccacece said all Ecuadoreans have a lot to celebrate on Thursday after the country's biggest World Cup result ever, coming from behind to beat Germany 2-1 and advance to the knockout stage.
New Zealand took control of the third Test at Trent Bridge with Tom Latham and Devon Conway setting a record partnership for the Kiwis against England on Thursday.