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The 24-year-old Sreeshankar defended the gold he had won last year with his sixth and last effort of 8.18m.
Ancy will have to repeat or better her performance at the final trials to be assured of a berth in the Hangzhou Games.
Mubssina Mohammed had become the first athlete from Lakshadweep to win a national-level medal last month.
Ancy could manage only a best of 6.25m, which placed her 13th in the overall standings.
Sreeshankar, who bagged a historic silver medal in men's long jump at the Commonwealth Games, says this is just the beginning and he is hungry for more success.
Murali Sreeshankar and Muhammed AneesYahiya progressed from the qualification with top and eighth best finishes.
Steeplechaser Avinash Sable also made the cut on the first day of the competition.
Kerala duo of Ancy Sojan and Nayana James missed out on gold after Aishwarya's impressive 6.73m effort.
The 26-year-old long jumper has been in fine form winning the gold in the Federation Cup and Indian GP 4.
The Keralite bagged the gold with an effort of 7.95m at the Venizeleia-Chania 2022 athletics meet on Sunday.