 He has represented Australia at Under-17 and Under-23 level, while also being part of Empoli's squad in the Italian Serie A. Giraldi gave up his squad number when Romario arrived in Adelaide so the Brazilian could wear the #11 he had worn all his career.Dez got the #23 he wanted when he first came to the club.He was released by Adelaide United at the end of the 2007–2008 season.