Arjun prevailed over Abdusattorov 1.5-0.5 while Praggnanandhaa lost an intense battle 3-4 against Caruana.
Indian Grandmaster Arjun Erigaisi opened his campaign with four victories and a solitary defeat in the World Rapid Chess Championship and was tied fifth, even as defending champion Magnus Carlsen endured a frustrating day, managing to log just one victory in New York.
With Georgia likely to post a victory against overnight leader Kazakhstan, it seemed that the Indian eves were likely to regain the top position and become the firm favourites for the gold medal again.
Koneru Humpy's non-participation in the event has not hampered the team's chances much as Vaishali has jumped significantly in rankings and is a force to reckon with in the women's circle.
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.