The Blues were beaten 3-1 by Walter Mazzarri’s men at San Paolo on Tuesday night, with the England international making his bow in Europe’s top club competition.
Cahill has revealed that he feels both the team and he himself could have done better.
“It started off brilliantly. We were frustrating them early doors, they made a mistake and we got the goal,” he told The Daily Mail.
“For some reason, it seemed really open after that instead of really solid. We should have shut the door, made everything really compact and gone in at half-time 1-0 up, but it wasn’t to be. I think we were too easily cut open.
“But it’s no excuse for simple, basic things. The goals came from a lot of long balls, which is bread and butter for people like myself.
“If we were getting caught open it might be different, but it was bread and butter things that went wrong.
“They had good players all around the pitch, but I think we made their job a little bit easier.
“We are still in it. To score two goals at Stamford Bridge is by no means beyond the realms of possibility.
“The third goal killed us a little bit, but we need to pull our finger out in the next leg and put in a better performance.
“I’m ridiculously disappointed. Disappointed with the result, the night, the Champions League debut. So it was a pretty low night for myself, actually,” he confessed.
By Gareth McKnight
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