In the second round, Anand lost the first of the two-game mini-match to Rapport with black pieces. The second game ended in a draw with the Indian playing with white pieces.
Former World champion Viswanathan Anand suffered a disappointing final round loss against Sergey Karjakin of Russia to finish joint eighth in the St Louis Rapid Chess tournament in St Louis, on Thursday.
Grandmaster P Harikrishna got the better of David Navara's defence and tamed the Czech to leapfrog to the lead after the fourth round of the 50th Reggio Emilia Chess tournament.
Levon Aronian, Veselin Topalov and Teimour Radjabov jointly won the Category-19 Corus Chess tournament.
In the women's event, India's D Harika drew with Nino Bastiashvili (Georgia) to move up to four points. She is in joint third place with six others.
Anand had endured losses at the hands of Rauf Mamedov (Azerbaijan) in the opening round before suffering defeats to Rapport and David Navara (Czech Republic) in the second and third round respectively.
Garry Kasparov, arguably the greatest player ever, returns to competitive chess after 12 years.
A summary of sports events and sports persons, who made news on Tuesday
A summary of sports events and sports persons, who made news on Monday '
A summary of sports events and persons who made news on Saturday
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.
Former World champion Viswanathan Anand had another bad outing, drawing seven and losing two games, to remain on joint eighth place after the end of nine rounds of blitz in the St. Louis Rapid and blitz chess tournament in St. Louis, United States.
Former World champion Viswanathan Anand scored a thumping victory over French Grandmaster Maxime Vachier-Lagrave to jump to joint-second after the end of the sixth round in the Norway Chess tournament, which is a part of the Grand Chess Tour.
Summary of sports events and persons who made news on Friday.
A summary of sports events and sports persons, who made news on Monday
Defending champion Viswanathan Anand and Norwegian challenger Magnus Carlsen played out a fourth successive draw in the World Chess Championship in Chennai on Tuesday after 64 moves.