"The good thing was is that it was 1-1 at half-time and we knew we could do better in the second half, and that's what we did".
But their lead lasted just five minutes before Nacho Monreal's header deflected off Marcos Alonso and Antonio Rudiger on its way into the Chelsea net, and Granit Xhaka poked in Arsenal's victor on the hour mark after pouncing on another unwitting deflection from Rudiger.
Egypt worldwide Elneny is undoubtedly a limited player but he offers more positional discipline than departed defensive midfielder Francis Coquelin and he showed his capabilities of performing when it really matters.
The last time the Gunners reached the League Cup final, in 2011, they suffered a shock defeat to Birmingham City - and Arsene Wenger admits that still stings. We know City are a good team, but we will go there to win.
The Blues were beaten 2-1 in the second leg of their semi-final after taking the lead at the Emirates Stadium.
Rudiger also had an inadvertent hand in Arsenal's second goal, on the hour mark, deflecting a pass from the industrious Alexandre Lacazette into the path of Granit Xhaka, who showed striker reflexes to stab the ball into the far corner.
The Argentinian added: "For me, he (Wenger) is and will always be one of the best managers in the world, I respect him, but I think he needs to talk for himself and for Arsenal".
They made us work for it, I felt that in the first half there were psychological and tactical reasons for us not expressing the quality of our game.
The 31-year-old, who has been out of action with a hamstring injury in recent weeks, has started just one Premier League game this term.
It was yet another disappointing end for Conte's side in a cup competition.
"My thoughts are disappointment for the final result", said Conte. "We got Henrikh Mkhitaryan in and I have a strong squad". "He's the most important player for Arsenal at the moment and he's got to make the team tick".
Asked about Barkley's readiness, Conte replied: "After a bad injury you need a bit of time to be 100 percent fit, but if you want to accelerate this process he has to play, not only have a training session".
"He had a really bad injury that he had to come over at Bournemouth past year it's no surprise that it took some time".