The Blues had to settle for a 2-2 draw at the Liberty Stadium despite taking an early lead through Diego Costa.
Of the result, Conte said: "It's very difficult to talk about the game and the final result because I think Chelsea deserved to win.
"We created a lot of chances to score many goals, and I think we were dominating the game when we were leading 1-0.
"But in only two minutes we were losing 2-1.
"For the second goal I think everyone can see the foul on (Gary) Cahill and there is a big mistake from the referee.
"I also want to say that this can happen for one side or the other side. I don't want to complain, but this is the reality.
"But we had a fantastic reaction, the players showed we did not want to lose and we tried to win until the end.
"It is a pity because I think we lost two points today. Now we must look forward and prepare the next game."