Barca won the second-leg 3-0 at the Nou Camp last night, but were bounced out 4-3 on aggregate.
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On social media, Pedri says Barca can build on the momentum of the win, taking it into the Champions League and LaLiga campaigns.
Pedri stated: "We gave it our all (and more) and came very, very close.
"There are two very important goals ahead and I'm convinced that with our effort and the support of our fans, who were incredible last night, we're going to experience some great nights.
"Now, it's time to recharge. Heads held high and pride."