When Mario Monicelli's segment, "Renzo e Luciana", was cut, producer Carlo Ponti offered to finance Monicelli's film as a full-length feature on its own. This was never made. This segment was apparently cut because Monicelli had promised to deliver a "major American star" but failed.
Only the Italian release consisted of four parts. For the Cannes Festival in 1962, the Monicelli part of the movie was already left out. Out of solidarity, the other three directors did not attend the Cannes screening of their collective work.
In Federico Fellini's segment, one of the scouts receiving an award is named Otello Martelli; the name of the cinematographer of the segment.
In Luchino Visconti's fragment, "il Lavoro", it's possible to spot the German version of "the leopard" by Giuseppe Tomasi di Lampedusa: the book was adapted into a movie by Visconti himself, and came out right after "Boccaccio 70", in 1963.