Nooooooooooooo! That's far from right. It's spanish! ... That's at least what some other guy on AO suggested.
Funny ... I'd be interested in what makes you think it's a south european name.
I don't think it's italian though, nor spanish. Just a name which subconciously popped into my mind. I later found out that my dad had a CD from a band named Lapislazuli and that there's some kind of precious stone named Lapis lazuli The name would rather be latin, because lapis means stone. Forgot what lazuli stands for. :P
You like the name? :>
Your name looks ... Italian. O_o