Eivør was drawn towards music at a very young age. by the time she was thirteen, she had already appeared on television and won a national level singing competition. Two years down the line she had joined the Faroese rock band Clickhaze. She released her debut solo album Eivør Pálsdóttir in 2000. Initially, a jazz musician, Eivør branched out into rock and then into other genres in an attempt to not be defined by a single genre.