Álvaro played for the Spain U21 team from 2013 until 2014 before he made his debut for the main team in 2014 in a test match against Great Britain. He was part of the Spain squad that finished thirteenth at the 2018 World Cup. He scored two goals in three games in that tournament. At the 2019 EuroHockey Championship, he won his first medal with the national team as they finished second. On 25 May 2021, he was selected in the squad for the 2021 EuroHockey Championship.