Barca have surrendered the LaLiga leadership to Real Madrid after defeat at Girona on Monday night.
But Blaugrana defender Cubarsi told Mundo Deportivo: "Last season was spectacular.
"This year we may not have started off on the right foot, but we've already picked up speed and we have the Super Cup.
"It might be difficult to top last season, but we are Barça and that's what we're going to do: fight until the very end.
"We're going to fight until the last moment, as we always have, and we'll try to bring home the Champions League and every possible title so that everyone is happy and we can celebrate a great season."
He added, "We are a group that has already shown that we believe in comebacks and have pulled them off. We're going to try again."