The forward dismisses suggestions that La Roja's squad lack quality, and hopes that his World Cup performances have not dented his future chances with the national team
The Brazilian-born striker, who is on the verge of joining Chelsea after scoring 27 goals in 35 appearances in La Liga for Atletico Madrid, cannot put his finger on what was missing from La Roja but rejects claims that there was a lack of quality after a 2-0 defeat to Chile ended their defence of the title.
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Vicente del Bosque's side opened their World Cup campaign with a crushing 5-1 defeat by Netherlands before Chile put them out on Wednesday but Costa, who has yet to hit a shot on target in Brazil, is keen to make amends.
"Of course I want to continue with Spain. I dream of achieving the same successes that Spain has already achieved," he told Marca.
"We apologise but life goes on. Let us keep working and raise your heads again.
"We had many ambitions. No-one is tired of winning. We missed something but it was not quality. It is just true that Chile were physically better than us."
Spain will play Australia, who have also been knocked out of the competition, on Monday at the Arena da Baixada in Curitiba.