Italy is very diverse, genetically. Italians from southern and northern Italy are often distinct in BGA analyses. Southern Italians typically have significant Middle Eastern, North African, and Mediterranean components. Northern Italians are typically much closer to their French, Swiss, Austrian, and Balkan neighbors. Those from the middle, or large cosmopolitan cities like Rome, will be more mixed.
For the matching part of the autosomal DNA test, identificable segments from ancestors more than 5-6 generations ago are likely to have recombined. However, the "genetic ethnicity" portion, along with all other BGA analyses, can reflect contributions from ancient ancestors.