In 1957 he won the International Italian Radio and Television Competition for Conductors and thereafter was invited to appear with important Institutions in Italy (La Scala, Santa Cecilia, Maggio Musicale Fiorentino, the TV-Radio Orchestras of Rome, Turin, Milan, Naples…) and abroad in Germany, Holland, Belgium, France, Spain, Poland, Russia, Israel, United States, China, Japan, and other sites.

Besides the symphonic activity, Alberto Zedda has developed an outstanding career in opera: La Scala, San Carlo, La Fenice, Massimo di Palermo, Comunale di Bologna, Regio di Torino, Covent Garden, Marinski, Vienna, San Francisco, Los Angeles, Paris, Helsinki, Tel Aviv, Warsaw, Lisboa, Barcelona, Madrid, Sevilla, Oviedo, Bilbao, La Coruña, Moscow, Berlin, Munich, Hamburg, Amsterdam, Prague, Osaka, Tokyo, and other sites.

Recordings made under his direction include operas as well as symphonic and chamber music.

He has always dedicated part of his time to musicology, editing widely successful critical versions of operas, oratorios and cantatas, with particular attention to Rossini and to the first half of the 19th Century and early baroque repertoire.

He wrote Divagazioni Rossiniane, published in 2012 by Ricordi, Milan,[2] which was translated into Spanish, German and English.