Arjun prevailed over Abdusattorov 1.5-0.5 while Praggnanandhaa lost an intense battle 3-4 against Caruana.
Indian Grandmaster Viswanathan Anand lost to World champion Magnus Carlsen from a winning position to finish fifth in the blitz event that acts as a curtain raiser for the Norway Chess tournament which begins in Stavanger, on Tuesday.
Talking about his journey, Vishwanathan Anand said he had to work hard to become the player he is today.
The 44th edition of the prestigious event will witness a record 188 teams in the Open section and 162 in the women's side.
American Hikaru Nakamura also finished with 5.5 points, 1.5 points ahead of local representative Vincent Keymer, who placed sixth.
Fabiano Caruana defended his Superbet Classic title by winning all three rapid games in a thrilling four-way tiebreaker
It is not immediately clear if other delegations had been excluded but players from Qatar have suggested they may have been rejected.
Grandmaster R Praggnanandhaa took down World No 1 Magnus Carlsen to advance to the top-bracket quarter-finals along with Arjun Erigaisi at the Freestyle Grand Slam Tour.
Chess has applied for inclusion in the 2020 Tokyo Olympics and a final decision is expected to come next summer.
Anand got off to a good start and won the first game of the best-of-four contest. The next two games were drawn before Leko levelled by winning the fourth.
Former world champion Viswanathan Anand played out a draw with Anish Giri of Holland to finish ninth in the London Classic while Magnus Carlsen of Norway won the event. Reigning world champion Carlsen also won the Grand Chess Tour after winning the Classic on a lucky final day for him.
Former world champion Viswanathan Anand had another disappointing final day as the Indian finished on ninth spot in the St. Louis Rapid and Blitz Chess tournament, a part of the Grand Chess tour.
The 47-year-old former World champion is taking some time off before he gets down to tournament play in St. Louis, United States, where the focus would be on Russian chess legend Garry Kasparov, who is making a surprise return to the game.
D Gukesh started off on a positive note, beating Deac Bogdan-Daniel of Romania
In the women section being held alongside, Indian women played out a hard-fought draw against experienced Georgia 1 team. All the games were drawn.
Anand, who had finished third in the penultimate leg in Bucharest, concluded with a seventh-place finish
R Praggnanandhaa navigated his match against the reigning world champion Ding Liren with remarkable ease
Viswanathan Anand would become the deputy president of the world chess federation (FIDE) if the incumbent Arkady Dvorkovich is re-elected as the president in the elections scheduled during the 44th Chess Olympiad in Chennai in July-August.
Viswanathan Anand defeated an out-of-sorts Alexander Grischuk while Magnus Carlsen sealed the title at the Altibox Norway chess tournament with a round to spare, in Stavanger. Anand's chances to be in top three had ended after he lost to American Fabiano Caruana in the previous round.
Anand needs to finish in a minimum sixth place in Kolkata, in order to qualify for the grand finale
Indian grandmaster Viswanathan Anand played out a draw againt Peter Svidler of Russia in the eighth round of Tata Steel Masters underway, in Wijk Aan Zee, The Netherlands, on Sunday.
Garry Kasparov, arguably the greatest player ever, returns to competitive chess after 12 years.
Anand, who first made it to the World's top-10 in July 1991, has remained India's top-ranked player in all published lists since January 1987.
The Chennai-based Anand, who is making his maiden appearance at the Magnus Carlsen Chess Tour, settled for a 82-move draw in the opening game of the best-of-four contest.
Over the past few months, the overall interest in chess is reported to have doubled, with more players than ever coming together to participate in chess events that are being increasingly held through online platforms
Former World champion Viswanathan Anand played out a second straight draw by holding Fabiano Caruana of the United States easily in the fourth round of the Sinquefield Cup, which is part of the Grand Chess tour.
Local hero Vincent Keymer was at his best as he drew the first blood against Fabiano Caruana of the United States. Going in with 1-0 lead with one game to go, the onus is now on Caruana to draw level that will force a tiebreaker.
Since 2012, 44 Indians have been anointed as grandmasters -- the highest achievement in chess, points out Arvind Subramanian, economist and former chief economic adviser to the government.
Viswanathan Anand on Saturday described 17-year-old Grandmaster D Gukesh overtaking him as the highest-rated Indian player in FIDE rankings as a "historic" achievement.
'Compared to three or four years back, I have cut down on my time as an active chess player. I have long aspired to come into the chess administration and this opportunity as the deputy president will be a huge learning curve for me'.
Anand did not quite re-work his energy and lost to Carlsen in the first game of the third day and then made a draw with compatriot Vidit Gujrathi.
Playing as a wildcard in the tournament, the Indian ace had on Thursday defeated Radoslaw Wojtaszek of Poland in the first round, before getting the better of American Wesley So and Anton Korobov (Ukraine).
Five-time world champion Viswanathan Anand got off to a good start with an easy draw against World No.2 United States' Fabiano Caruana in the first round of the London Chess Classic, the final leg of the Grand Chess tour.
World rapid champion Viswanathan Anand continued his fine run in the faster version of the game and annexed the Tal Memorial rapid chess title in Moscow after an easy final round draw against Boris Gelfand of Israel.
Five-time World Champion Viswanathan Anand bounced back from his fourth round loss and beat his former world championship challenger Veselin Topalov of Bulgaria on Wednesday in the fifth round of London Chess Classic, the concluding edition of the Grand Chess Tour.
In the women's section being held simultaneously, the Indians came back strongly to beat Poland 3-1 aided by victories from D Harika and Tania Sachdev on board two and three. Its surprising that Tania Sachdev was rested in the previous round when the Indian team drew with Serbia, losing on last two boards.
The 50-year-old ended in ninth position ahead of GM Peter Leko who finished last.
Taking his tally up to two points out of a possible four, Anand now has his task cut out for the remaining five games in this strongest tournament of the year. The world rapid champion needs a couple of victories to stake a claim in the tournament.
Former world champion Viswanathan Anand and five other leading Indian players will compete in an online chess exhibition on April 11 to raise funds for country's fight against COVID-19. The event will be streamed live on chess.com/tv, where all donations made will be sent to the PM's CARES Fund.
Former World champion Viswanathan Anand pushed yet again but could not break the solid defences of Anish Giri of Holland and had to settle for a second straight draw in the Norway chess tournament, a part of the Grand Chess tour.
