Born in Milan in 1940, Amodio trained at the ballet school of the Teatro alla Scala, whose ranks he joined immediately. While there, he performed in productions by Léonide Massine, George Balanchine, and Petit. At the age of 22, he left the company of the Teatro alla Scala to begin his career as a choreographer and free-lancing dancer, which led him to pivotal collaborations with Hermes Pan, who chose him as lead in the Italian TV productionStudio Uno, and with Aurel Milloss at the Teatro dell'Opera di Roma. He frequently returned to the Teatro alla Scala, where he performed with Carla Fracci in productions of Il gabbiano and Pelléas et Mélisande. In 1973, he was featured with Fracci in a documentary that was screened on the RAItelevision network in Italy. Excerpts from Prokofiev's Romeo & Juliet, Offenbach's Cancan and Tchaikovsky's Sleeping Beauty were shown. In 1975, Amodio signed his version of the Après-midi d'un phaune for the SpoletoFestival dei Due Mondi, which was then offered in reprise at the Teatro alla Scala with Luciana Savignano and scenes by Giacomo Manzù. In the same year and for this latter company, he also created Ricercare a nove movimenti.
After appearing in two movies by Liliana Cavani, The Night Porter in 1974, and Beyond Good and Evil in 1977, he founded Aterballetto in 1979, company where he would direct until 1996. At Aterballetto, his work was considered experimental and said to be promoting new forms that were widely perceived "as the first examples of a national form of choreography. Having consciously decided to select 20 dancers who would be able to tackle any style of music and ballet techniques, Amodio created for them a vast repertoire that paired his own creations with those of the Pantheon of choreographers. Under his guidance, Aterballetto produced Amodio's own The Nutcracker, Naturale, Mazzapegul, Un petit train de plaisir, Coppélia, and Cabiria, while ambitiously taking on the work of masters such as Glen Tetley, Alvin Ailey, Lucinda Childs, George Balanchine, Antony Tudor, Kenneth MacMillan, José Limón, Hans van Manen, Léonide Massine, David Parsons, and Maurice Béjart. During his tenure as Artistic Director for Aterballetto, Amodio strengthened his liaisons with noted composers and musicians, many of whom contributed original music for his creations; among them, Luciano Berio, Sylvano Bussotti, Aldo Bennici, Azio Corghi, Giuseppe Calì, Jan Garbarek, Naná Vasconcelos, and Edoardo Bennato. Anxious to incorporate other media in his work, he elicited the artistic input of high-caliber costume and set designers while painters and sculptors produced unique artwork. The Strange Case of Dr Jekyll and Mr Hyde was his last work created for Aterballetto, where Mauro Bigonzetti succeed him as Artistic Director.