In the end, India needed an unbeaten 49 from Kohli to secure a draw as England fell four wickets short of victory, and the captain expects better from his side in the second Test at Visakhapatnam, which starts on Thursday.
India's spin force of Ashwin, Ravindra Jadeja and Amit Mishra failed to get the desired success on a fast Rajkot track, sharing nine wickets in the two innings. We have done well in all three departments over the past three and half months that I have been with the team.
"We need to accept what happened on the negative side, and learn from it in the next game".
Ashwin, who has an overall bowling average of 24.99 in Tests, averaged 76.66 - his second-worst at home. England's bowlers put constant pressure. "That's something that we are really looking forward to correct in this game", he added.
"In the meantime, Gautam got the chances that he got".
He further said: "It is important to convince yourself you can negotiate what's thrown at you".
Alastair Cook, who became the first English batsman to cross 1000 runs in India, said he was disappointed not winning the first Test.
"Our spinners are nowhere near the finished article, but they can all be pleased how they bowled in this game and it was a tough five days", he noted. "It's never easy and you want to try to make it worthwhile by scoring a few runs", said Cook on Sunday. That's how the team combinations go, you go with what you think is the best for the team. We were relentless with the ball, we didn't let India score too quickly.
Cook also heaped praises on promising debutant batsman Haseeb Hameed and spinner Adil Rashid. His fellow spinners Moeen Ali and Zafar Ansari took one wicket each.
And Cook believes brilliant new opener Hameed and all-rounder Ben Stokes can be key to a famous series win.
"I don't think that second innings score by our lads is a fair reflection on that wicket".
"He s certainly a good player", he said about the Indian origin debutant. Both, however, had to bowl their first-innings overs when the pitch was at its flattest.
"If they continue at that level, like in Rajkot, then there is no reason why we can't put pressure on Indian batting with our spinners". We did a lot of very good things.
"We had so many chances that could have gone (our way). And we are here to give India a run for their money".
In 23 Ranji Trophy matches played at Rajkot, teams batting first have posted in excess of 550 on eight occasions - that's in more than one third of the matches.