In 2007 Trapani won the Gaudeamus Award for young contemporary composers[6] for his composition Sparrow Episodes, for ensemble with solo electric guitar, which was performed in the Muziekgebouw aan 't IJ in Amsterdam by the Asko Ensemble under Étienne Siebens, with Trapani on guitar.[7] In September 2008, his commissioned piece Üsküdar was performed in the same hall by the Nieuw Ensemble.[8]
His composition Rust and Stardust was performed during the Tectonics Festival in Glasgow in 2015; the Guardian reviewer found it "accomplished and dreary",[9] while The Scotsman spoke of "kaleidoscopic explosions that ... gave structure and shape to its insistently concise material".[10]