In the summer of 1983, a 17-year-old Elio spends his days in his family's villa in Italy. One day Oliver, a graduate student, arrives to assist Elio's father, a professor of Greco-Roman culture. Soon, Elio and Oliver discover a summer that will alter their lives forever.

Fleeing 1930s New York and leaving behind a chequered past, the giltzy divorcee Mrs Stella Erlynne travels to Italy's sun-dappled Amalfi coast. Mrs Erlynne's appearance causes a stir amongst the visiting aristocracy. Based on the Oscar Wilde play "Lady Windemere's Fan."