Brought up into an artistic family, and niece of the well-known film and play director Ali Raffi, she graduated from the Conservatoire national supérieur d'art dramatique (CNSAD) in Paris.

At the age of twenty-three, she moved back to Paris and entered the Conservatoire National Supérieur as part of the Jean Damien Barbin's class, during the time in which Daniel Mesguich was the director.

[8][9] In 2014, Kavani performed on the stage of l'Odéon-Théâtre de l'Europe, reciting poems by the Iranian contemporary poet Forugh Farrokhzad under the direction of Roland Timsit.

In 2015, she appeared at Auditorium Orchestre National de Lyon with the notable French actor Jean-Damien Barbin, performing Happy Days Shakespeare.

[12][13] In 2017–18, Kavani played the role of Ipek in Snow, a theatrical adaptation of the eponymous novel by Turkish writer Orhan Pamuk (winner of the 2006 Nobel Prize in Literature) directed by Blandine Savetier of the National Theatre of Strasbourg (TNS).