There is no such thing as "Italian blood". Italians were never an ethnicity, they're a political nation created in 19th century, their identity is based on Italian language (Italian dialects) and geography (Italy was a geographic term since antiquity). That the entire peninsula speaks Italian language is a result of Romans subjecting other ethnicities in the region who spoke different languages and had different origin (for example Greeks in the south in "Magna Graecia", Etrusci in the north), then during the Roman empire Italy was even more ethnically ("racially") mixed as a lot of different ethnicities from all over the empire came to Rome. After the empire collapsed even more newcomers came; there were all kinds of invasions, from Arabs to Normans and other Germanic tribes. You also had big Jewish and Albanian minorities living in Italy for centuries.

So what would be Italian blood here? There was no real ethnogenesis of Italian people, they were formed as a nation in 19th century when culturally and 'racially' diverse people of Italy became a united political nation, not much different from USA.