I'm the 3rd woman with the same first name in my family, so I use my middle name, Saddina, also family name. Grandmother uses "Dina" and I use "Saddi" (same as english Sadie). Once we had kids I was not naming them after family, and after the whole name bottlenecking that happens in Italian families, no one complained. So my boys have scottish/Irish names as a nod to thier daddy's family (our one deviation, both of our fathers have the middle name Edward, so we used it for our youngest's middle name as well.
http://www.family-crests.com/family-crest-coat-of-arms/surnames-7-7/italian-naming-traditions.html
http://www.family-crests.com/family-crest-coat-of-arms/surnames-7-7/italian-naming-traditions.html