The Blues opened the scoring on 36 minutes through Cesar Azpilicueta and dominated proceedings in Sunday's Premier League match at Stamford Bridge.
The Hammers went on to equalise against the run of play on 73 minutes through Javier Hernandez with what was only their third touch inside the hosts' area.
"I think with this game we can see our season, our season is like this, we can create a lot of chances but we cannot take them," Conte told Sky Sports News at full time.
"We are not clinical and then we concede two shots and concede a goal. This game is our season, it is a pity because we dominated the game and created many chances to score.
"But when you don't score but create the chances it's very difficult to win. This game explains our season. A good performance, yes, but many times we have had a good performance and lost the game, or drew the game, many times we've had a good performance but not won the game.
"[Alvaro] Morata scored two offside goals, he does not lack confidence and we created enough chances for [Eden] Hazard, Willian and Morata to score. But I repeat - this game explains our season."
Chelsea remain fifth in the Premier League table following the result, 10 points adrift of the top four with six games left.