Kew's 2010 World Checklist of Selected Plant Families does show Galanthus nivalis, the common snowdrop, as being native to Italy (and Freda Cox's splendid book says it's native right across western, central and southern Europe from the Pyrenees to the Ukraine.
G. reginae-olgae also occurs in Italy. The simplest way of telling it from nivalis is that its leaves show only scarcely if at all while it's flowering, whereas the common snowdrop's leaves are much more developed already then - as in your photo, Joanna. Most forms of it also flower much earlier than the common snowdrop, some in autumn.