Chelsea are now five points behind league leaders Manchester United.
Grant said: “Our 6-0 win over Manchester City a few weeks ago may have raised expectations.
“But, apart from the result, I was pleased with the performance. They scored once from one chance, we scored once from lots of chances.
“I feel disappointed. It is always like this when someone scores against you in the last minutes. But we continue to play good football.
“We lost two points today after dominating the game — the players know this.
“We are showing that we have a good squad. Last month the entire back four and the goalkeeper were different.”