Humpy was no match for Alexandra Kosteniuk of Russia, going down 2-9 while Harika was ousted by world No.1 Hou Yifan of China
Indian eves came up with yet another emphatic performance in the 10th round of the women's section of the 36th Chess Olympiad.
The Indian needs just a draw in the second game against Nana Dzagnidze of Georgia to qualify for the semis.
The Indian GM was the only player to go undefeated in the event that featured the cream of women's chess.
Triveni Continental Kings beat Ganges Grandmasters, led by five-time world champion Viswanathan Anand, to set up a final against upGrad Mumba Masters.
Ganges Grandmasters made an important comeback after two losses, defeating Balan Alaskan Knights 8-7
Indian Grandmaster Dronavalli Harika staged a great comeback in the FIDE World Women's Chess Championship in Tehran, winning the second game against Tan Zhongyi of China to take the semi-final into a tie-breaker.
Indian Grandmaster Rameshbabu Praggnanandhaa defeated Russia's Vladislav Artemiev in the 15th and final round of the preliminary phase of the Airthings Masters.
World No.1 Hou Yifan defeated Sarasadat Khademalsharieh of Iran 7.5-2.5 to finish third.
After two straight wins, India went down 1-3 to a formidable Russian team in a fourth Pool A match in the FIDE World Women's Team Chess Championship, in Sitges, Spain.
The world rapid champion Humpy got the better of Russian 6-5 to set up a last four clash with world No.1 Hou Yifan of China.
Humpy, the world rapid champion, overcame her Chinese opponent in a close match with the Indian winning the decisive bullet game.
While Vaishali got the better of Ukraine's Inna Gopanenko in round eight, Rout defeated Russia's Baira Kovanova.
Vaishali came back from 2-4 down to oust the experienced Ukrainian by winning the last two bullet games.
He finished 11th in the standings with 19 points with the top eight going through to the knockout phase at the ongoing Airthings Masters.
India and Russia were on Sunday declared joint winners of the 2020 Online Chess Olympiad after the final was marred by internet disconnection and server malfunction. This was the first time FIDE, the international chess federation, was holding the Olympiad in an online format, due to the COVID-19 pandemic.
The team of Chingari Gulf Titans stunned Mumba Masters by 12:3, while SG Alpine Warriors were upstaged by Triveni Continental Kings
The inaugural edition of the Global Chess League, which aims to revolutionize chess, got underway in Dubai, with the first two matches taking place on Friday.
Back in chess just before the Olympiad after a nearly two-year hiatus, Humpy, who has been among the top women players for a long time, will now have to wait for another two years to have a go at the next world championship cycle.
Former World champion Viswanathan Anand struggled for the second day running as he was held to a draw by almost-retired Robert Hess of the United States in the second round of Isle of Man International Chess tournament.
Grandmaster Harika Dronavalli came out strongly yet again in the rapid tie-breaker as she outclassed Nana Dzagnidze of Georgia to enter the semi-finals of the FIDE World Women's Chess Championship for the third time in a row.
Summary of sports events and persons who made news on Sunday.
Young Indian Grandmaster Vaishali Rameshbabu on Thursday beat International Master Munkhzul Turmunkh of Mongolia to storm into the semi-finals of the first leg of FIDE chess.com Women Speed Chess Championships but the country's top player Koneru Humpy bowed out in the opener.
Vaishali, sister of the Indian chess prodigy and GM R Praggnanandhaa, scored impressive victories over Mariya Muzychuk (Ukraine) and Russia's Valentina Gunina on the opening day of the Blitz championship.
The stage is set for the inaugural edition of the Global Chess League to get underway in Dubai.
Teenaged Indian Grandmaster R Praggnanandhaa, who stunned Magnus Carlsen in the eighth round of the Airthings Masters online rapid chess tournament, was delighted, yet modest in his moment of triumph, saying he just wanted to enjoy playing against the world No. 1.
High-flying with his superman-cap, overnight joint leader Grandmaster Gupta ran out of steam and surrendered to Nakamura on a day when B Adhiban also did well to hold Levon Aronian of Armenia to a creditable draw.
Summary of sports events and persons who made news on Friday.
Summary of sports events and persons who made news on Saturday.
Grandmaster B Adhiban finished tied third at the Chess.com Isle of Man International tournament after beating the highly-regarded Michael Adams of England in the ninth and final round, in Isle of Man (UK) on Monday.