The Female Eunuch author claims to have struck up a romance with La Dolce Vita director after he invited her to Italy in 1975 to audition for a role in his 1976 movie Fellini's Casanova.
Greer turned down the part, but subsequently enjoyed a brief relationship with the critically-acclaimed filmmaker, who was married to actress Giulietta Masina from 1943 until his death in 1993.
The author revealed the affair in an article written for Britain's Guardian newspaper, insisting she decided to divulge the details of the secret romance after seeing Oscar-nominated 2009 movie Nine, which was based on Fellini's semi-autobiographical 1963 film 8 1/2.
She writes, "I caught glimpses of Penelope Cruz in a flounced red baby-doll nightie... and Sophia Loren looking like an Aztec mask, and Daniel Day-Lewis getting out of bed with his trousers on, but I was not tempted. I will not have my Fellini rewritten by Arthur Kopit, who wrote the musical, or Anthony Minghella or Michael Tolkin, who wrote the (Nine) screenplay."
She goes on to describe her first sexual encounter with the moviemaker, but admits the romance eventually fizzled out because of her hectic schedule.
She adds, "The relationship was self-limiting because I wasn't available... Sexual athletes are tuppence a dozen. Fellini was a many-sided genius. I do not hope to meet his like again."