Her book, Madame du Deffand e il suo mondo (1982) was translated into English by Teresa Waugh; the English version was first published in the United States.[4] A New York Times critic described Craveri's writing as having "the subtlety of a novelist and the precision of a scholar" and the book as "a work of stunning originality".[5]
Craveri's first husband was the critic and writer Masolino D'Amico, by whom she had two daughters, one of whom, Margherita, is a well-known writer and activist.[6] Following her divorce from D'Amico, she married a French diplomat, Benoît d'Aboville.[7] The couple lived for a time in Brussels as a result of his diplomatic duties.[8]
In 2017, Craveri was awarded the Prix mondial Cino Del Duca, which recognises an author whose work constitutes, in a scientific or literary form, a message of modern humanism.[9]