Enver was born in 1984, in London, England, and lived there until she was 12 years old. She holds a British passport. Her father is a Turkish Cypriot who grew up in London and who met and married Enver's mother in London, who came to London from Turkey to study there. Aslı Enver's native language is English. She couldn't speak Turkish when she arrived in Istanbul as a child and only later became fluent in it. She won a song contest in London. Enver started theatre at Mujdat Gezen Art Centre in Istanbul. She studied at Pera Fine Arts High School and graduated in theatre studies from Haliç University. She had her first minor-guest role in Uzay sitkomu. Later, she had a part in the TV series Hayat Bilgisi and played the main character "Mine Ergun" in the popular youth series Kavak Yelleri (a remake of Dawson's Creek) for five seasons. She has acted in the movies Tamam mıyız? and Kardeşim Benim and starred in the TV series Suskunlar, Kayıp, Bana Artık Hicran De, Mutlu Ol Yeter and Kış Güneşi.