Cesc Fabregas gave the Blues the lead after just five minutes at Stamford Bridge, but a quick response from Wilfried Zaha and Christian Benteke saw the Eagles take the points.
"I think today we deserved at least a draw," Conte said. "I don’t want to say a win, but at least a draw. We created many chances to score, we dominated the game against a very strong team with really good players.
"It’s a pity but it wasn’t our day. For you (the media) it’s a good result because it makes the championship more interesting."
The result ends a run of eight games without defeat for the Blues, and cuts their lead at the top of the standings to seven points, but Conte is now focused on Wednesday’s match with Manchester City.
"We have to play on Wednesday against Man City and we all know the strength of their team, but for now the most important thing is to rest and recover well. We must prepare in the right way.
"Every game will be very tough from now until the end, whether the opponent is Man City or a team fighting near the relegation zone.
"I always said the league is finished when mathematically you have won it, otherwise you must play every game to try to win because in England there are no easy matches."