In the women's event, the country's top player Koneru Humpy has 3.5 points with two wins and three draws after five rounds as does R Vaishali who has scored three victories to go with a draw apart from a loss.
Anand played the Italian game with white pieces but could get little out of opening against Vituigov.
Fabiano Caruana of United States made sure of his maiden title after beating Jan-Krzysztof Duda of Poland.
Five-time World champion Viswanathan Anand gave a fine endgame lesson to young Alireza Firouzja, jumping to joint sixth position at the end of 11th round of Tata Steel Masters, in Wijk Aan Zee, The Netherlands, on Saturday. With his second victory, Anand clawed his way back to a fifty percent score and will now hope to end the tournament on a high. At just 16 years, Firouzja is less than one third of Anand's age, and the Indian ace showed that the Iranian still has a lot to learn.
Anand has been trying to play very complicated positions and the sixth round was no different.
The day produced four decisive games and it was again the youngsters who provided most of the entertainment.
Indian players experienced mixed fortunes in the second round of the FIDE Grand Swiss chess tournament here with two each in the men's and women's sections registering victories.
Carlsen had previously indicated he would not consider the record truly broken until after two more games as he was not prepared to count two wins he had in the Norwegian league.
Lesser-known Indian players continued to impress, while the fancied struggled to score, even as overseas Grandmasters took charge in the third round of the World Junior Chess Championships, being played at Hotel Hyatt, in Pune, on Wednesday. S L Narayanan was one of the early finishers, holding second seed and super GM Robin Van Kampen (2641) to a draw, while 10-year-old Nihal Sarin's impressive display again won him many admirers after he held Balazs CSonka (2409) to a draw to remain unbeaten after three encounters against opponents rated higher than 2400.
Alireza Firouzja remained in joint lead with Caruana on 5.5 points and these two are now ahead of Wesley So of United States and Jorden Van Foreest of Holland.
Grandmaster Sahaj Grover failed to capitalise on his chances and played out a draw with Iranian Pouya Idani, while Vidit Gujrathi defeated Polish Marcel Kanarek to be jointly third after the eighth round of the World Junior Chess Championship in Kocaeli, Turkey.
It was on move 21 that Giri thought he was out of trouble and proposed a draw.
S L Narayanan, a regular visitor to Pune for the Maharashtra Chess League, has a reputation for shocking seeded players. On Thursday, in the fourth round of the LIC World Junior Chess championships, at the Hotel Hyatt, the teenager from Kerala played true to his reputation and stunned Polish Grandmaster Kamil Dragun.
Anand, as white, had simply an extra pawn and this is where the tenacity of Carlsen came to fore.
Viswanathan Anand had to be content with a joint third place finish following a draw with compatriot Vidit Gujrathi in the 13th and final round of the Tata Steel Masters, in Wijk Aan Zee, The Netherland.
Reigning world champion Magnus Carlsen of Norway steered clear of the field with another dominating victory over Jan Krzysztof Duda Poland.
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.
Lesser-fancied Indians again stole limelight in the LIC World Junior Chess Championships, being played at Hotel Hyatt, in Pune, on Friday. Nandhidhaa PV created a sensation in the fifth round, upsetting IM Meri Arabidze of Georgia, who is rated and titled higher than her, while 15-year-old Maria Ivana Furtado shocked Nguyen Thi Mai Hung to emerge joint leaders.
India's Padmini Rout scored an impressive victory with plenty of fireworks to maintain her joint lead in the Girls section but favourite Viddit Santosh Gujrathi suffered a shock loss in the sixth round of the LIC World Junior Chess championship in Pune.
Indian Grandmaster S P Sethuraman came back into the reckoning for top honours after defeating Duda Jan-Krzysztof of Poland in the seventh round of the World Junior Chess Championship in Kocaeli.
Padmini Rout's unbeaten run was halted by top seed Aleksandra Goryachkina in the eighth round of the LIC World Junior Chess Championships, at the Hotel Hyatt, in Pune, on Tuesday. After a day's rest, the girls' section was dominated by the higher-rated Russians in the fray, with Daria Pustovoitova defeating Anna Iwanow of Poland. Both the Russian girls and Anna Iwanow of Peru jointly lead the girls' section in the 77-player event with 6.5 points each.
Indian Grandmasters Vidit Gujrathi and S P Sethuraman placed themselves for a medal contention as they defeated Jorge Cori of Peru and Vladislav Kovalev of Belarus respectively in the 12th and penultimate round of World Juniors Chess Championship.
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