Born in Naples to a doctor and a teacher, Dell'Anna grew up between Castel Volturno and Giugliano in Campania. She studied at the London Drama Studio and the Guildhall School of Music and Drama.

After several minor roles, Dell'Anna had her breakthrough in 2012 when she played the twins Michela and Manuela Cirillo in the Rai 3 soap opera "A Place in the Sun". In 2015 she got her best-known role — Patrizia Santore in the crime series "Gomorrah".

For her role in Mario Martone's film "The King of Laughter" she was nominated for a David di Donatello award for Best Supporting Actress.

She plays the lead role of Cabrini's mother in the 2024 film "Cabrini", gaining more recognition among English-speaking audiences.