Gibson, who captained the team in the Premier League for the first time, said: "I'll go home and watch it, to be honest. I'll go home and watch the game and learn what we could have done better.
"That's what you have got to do. If you don't get the results you want, you have got to learn, so that's what I hope all the lads will be doing.
"I loved it. Ultimately he [Costa] comes out on top because he gets the winning goal, but for large parts he wasn't really in the game and we handled him well, so it's very frustrating.
"But we will have to learn from it, take the positives and move forward."
He added: "It's a great opportunity. You want to test yourself against the best players in the world, which is why we were desperate to get into this league and I am thoroughly enjoying plying my trade against these people now.
"We have had a bit of success lately, but as I said, ultimately it's a bit frustrating because he comes out on top because he gets the winning goal.
"But for large parts as a defence, we handled him really well and we limited his opportunities."
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