Top seed Sindhu, a former world champion, got the better of compatriot Ashmita Chaliha 21-7 21-18 in 36 minutes, while Sen rallied his way to a hard-fought 14-21 21-9 21-14 victory over H S Prannoy in another all-Indian quarterfinals.
Former champion and 2012 Olympic bronze medallist Saina suffered a 17-21 9-21 straight game loss to compatriot Malvika Bansod.
Ashmita Chaliha upsets World No. 28 Kosetskaya in straight games to advance to the second round.
Also headlining the tournament will be newly-crowned world champion Loh Kean Yew along.
The-26-year-old former world champion was named alongside five others who will serve as members till 2025.
The top-seeded Tai Tzu beat Sindhu 21-17 21-13 in an energy-sapping match that lasted 42 minutes.
The world number 7 Indian defeated her Thai opponent Pornpawee Chochuwong 21-14, 21-18 in the pre-quarterfinal match.
Reigning World Champion PV Sindhu defeated Slovakia's Martina Repiska in straight games 21-7, 21-9 to reach the last-16 round of BWF World Championships in Huelva (Spain) on Tuesday.
Defending World Champion PV Sindhu will start her BWF World Championships' women's singles campaign on Tuesday when she takes on Martina Repiska in the 2nd round of the tournament.
BWF World Championship 2021: Here are the details of when and where to watch the BWF World Championship 2021 live in India.
Sindhu has been in impressive form as she claimed her second silver medal at the season-ending World Tour Finals after three successive semifinals finish at the French Open, Indonesia Masters and Indonesia Open.
Sindhu, the reigning world champion and two-time Olympic medallist, could neither match the pace nor breach the defence of the world number six Korean, losing 16-21 12-21 in the 40-minute lop-sided clash.
The double Olympic medallist goes down meekly to South Korea's An Seyoung 16-21, 12-21 in the summit clash.
It will be Sindhu's third final appearance in the season-ending tournament. She had won the title in 2018 to become the only Indian to achieve the feat.
Sindhu finished in the second position in group A, behind Chochuwong and her opponent of the semifinal stage will be decided in a draw later in the day.
Double Olympic medallist Sindhu outplayed World No 23 Yvonne Li 21-10, 21-13 in 31 minutes.
Sindhu looked in great control as she opened up a 5-2 lead and though Line made it 7-6, the Indian quickly reeled off 10 straight points to march to 16-8 and seal the opening game comfortably.
India's top shuttler PV Sindhu prevailed Denmark's Line Christophersen in straight sets 21-14, 21-16 in the BWF World Tour Finals 2021 Women's Singles group A match in Bali.
It will be the best ever representation for India at the year-end tournament with as many as seven of them qualifying for the USD 1,50,000 event.
Third seed Sindhu, a two-time Olympic medallist, lost 21-15 9-21 14-21 to world no 8 and second-seeded Ratchanok in 54 minutes for her third semifinal finish on the trot.
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