Just flew into FCO on May 13. Before gathering our bags, we got in line to go thru immigration. We noticed one of the two lines for non-EU passengers was moving faster than the other. When we got to the front of the line, we noticed why. The woman behind the counter was not even looking at the passports. She actually seemed annoyed when I stopped to give her mine. She just waved us both in and didn't even stamp our passports. Very odd.