Berglind was first selected to the Icelandic national basketball team in 2015 and in total she played 26 games for the team. She was selected to the national team for the EuroBasket Women 2017 qualification where Iceland finished third in its group. In November 2017 she was selected to the team for the EuroBasket Women 2019 qualification. In May 2019 she participated at the 2019 Games of the Small States of Europe where Iceland finished in second place. Berglind's sister is basketball player Gunnhildur Gunnarsdóttir, who played for Snæfell and the Icelandic national team.