Elli Avram was born on July 29, 1990 in Stockholm, Sweden. Her Greek father, Jannis Avramidis, is a musician who is now settled in Sweden; and her Swede mother, Maria Granlund, is notably a famous Swedish actress and has acted in Ingmar Bergman's Oscar-winning film Fanny and Alexander.
Elli attended Frans Schartau High School in Stockholm, from where she graduated in Society-Economics. She took an interest in figure skating, singing and dancing from her initial years. She received training in acting from her mother and aunt who runs a theater in Skåne County, Sweden.