During his international career, he started with the Brazilian National Team in 2013. He only made 2 appearances with no goals. But controversy was created when Costa was granted a Spanish Citizernship in 2014. Then, Costa adopted Spain as his national side. He made his debut against Italy on the 5 March 2014, Spain won 1-0. Costa was called-up to play for Spain in the 2014 FIFA World Cup. He started for both of the first two games of Spain's torlument against Holland and Chile, but was rested against Australia. Spain lost 5-1 against Holland And 2-0 against Chile. They did win 3-0 against Australia in their final group game, but it wasn't enough to keep them to progess into the knock out phases. Costa is still yet to score a goal for Spain during his time playing as a striker for the national side.