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Chelsea struggled to break down a solid Arsenal side as the London rivals head into the second-leg tie evenly poised.
The Blues dominated chances but couldn’t find a goal and will need to improve at the Emirates in two weeks time.
VAR was in operation for tonight’s game and had a say in several incidents.
Conte was unhappy that a late decision referred to the video assistants did not see more extra time added on at the end.
He said: "I think when there are situations you have doubt about, you have to check. But at the same time if you check in extra time you have to consider this.
“For me, it is the only disappointment about extra time because I think in the second half the doctor went on the pitch twice and the referee stopped to listen to VAR and you are to give more minutes in extra time.
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“The referee stopped to listen to VAR and you are to give more minutes in extra time”
Chelsea boss Antonio Conte
"In Italy extra time is sometimes seven, eight or nine minutes. At the same time I think it is right to have the possibility to have this in today’s game.”
On tonight's result, Conte added: "We are 50 percent for both teams, to go and play the final at Wembley.
"We didn't concede a goal. It was very important for us but at the same time, we know we play away at Arsenal and we must be ready to fight if we are to play the final.
"It is important in every game to try to win. We tried with all our strength to win the game. We created chances to score but a few times we were not so clinical.
"Every game is different. Compare this game with [last week’s 2-2 league draw] and Arsenal were very different.
“They stayed very deep in this game and tried to exploit the counter attack. The last game was more open."