Although the composition is usually referred to as "Albinoni's Adagio"

Although the composition is usually referred to as "Albinoni's Adagio" or "Adagio in minor by Albinoni, arranged by Remo Giazotto," the attribution is inverted.
It has been known that Giazotto discovered Albinoni's manuscript fragment from a slow second movement of an "Albinoni Trio Sonata." According to Giazotto's account, he obtained the document shortly after the end of World War II from the Saxon State Library in Dresden. And then he constructed the balance of the complete single-movement work around this fragmentary theme, copyrighted it, and published it in 1958.
But it has been argued that this work is entirely Giazotto's. Giazotto never produced the manuscript fragment. Also since his death in 1998, no record of its ever having been among the collection of the Saxon State Library has been found.
Based on this evidence, many have concluded that the piece is entirely Giazotto's own composition.