I love this name. My parents named me Alessia while we lived in Ukraine and when left for America I started hating it but now I see how unique and pretty it is.
Alessia di Matteo was an Italian from Genoa. Di Matteo became the first person in history to survive the transplantion of eight organs in a single operation, although she died a year later of complications.
In Italy Alessia became popular in the 1970s (before it was absolutely rare). It was the 2nd most popular name in Rome in 1976 (behind Francesca), the 6th in 1981, and it's still very fashionable (5th in Italy in 2004, 6th in 2006).