World champion D Gukesh climbed to a career-high No 3 ranking, while compatriot R Praggnanandhaa broke back into the top 10 in the latest FIDE classical ratings released on Saturday.
The two-day World Blitz Championship in both the Open and Women's categories commences in Doha, on Monday, December 29.
Viswanathan Anand is the third Indian in the top 10, occupying the 10th spot with an ELO rating of 2750.
Norway's Magnus Carlsen continues to be the undisputed world No.1 with 2832.5 points, followed by United States' Grandmaster Hikaru Nakamura (2802) and country-mate Fabiano Caruana (2798).
World No. 1 Magnus Carlsen underlined his superiority, winning the first two games in the opening match of the final against teenaged Indian Grandmaster Arjun Erigaisi.
Grandmaster Arjun Erigaisi believes the government's recent decision to stop cash rewards for attaining GM and International Master titles is 'not ideal' for the parents of chess players.
With the triumph, the Indian GM qualifies for next year's Tata Steel Masters Group.
India's Grandmaster Arjun Erigaisi edged out fellow teenager Christopher Yoo in the quarter-finals via tie-breaker to reach the last four round of the Julius Baer Generation Cup online rapid chess tournament on Friday.
Indian chess players failed to finish on the podium in the individual events
Anand firmly believes that India has enough talent to produce the next Chess World Champion
The 17-year-old Praggnanandhaa, who started very well on day one with three wins, could only manage four draws on the third day.
Praggnanandhaa went down 1.5-2.5 to Shakhriyar Mamedyarov of Azerbaijan, Erigasi lost to Poland's Jan-Krzysztof Duda 0.5-2.5.
Carlsen, whose form has been up and down in the preliminary phase, took the fifth place with 26 points. He tripped Duda in the final round after settling for draws in rounds 13 and 14 against Daniel Naroditsky and Giri.
For a long time, Viswanathan Anand was the lone flag-bearer of Indian chess, taking the world by storm with his exploits.