In open sky GPS accuracy would be about the same in the North America and Italy. There is a GPS correction service used in Europe and North America called SBAS. If you outside an area with SBAS (for example China) you will typically get a meter or two less accuracy. China has a different map datum that can be 1KM off due to some cold war era policy that now seems more about protectionism. Other than China map datums are consistent with GPS positions.
Also, sometimes the orbits just don't work out for visibility of enough satellites to get a high quality position (if your receiver can use GPS and one of the other GNSS, that helps a lot, you're unlikely to have poor orbital pathing on two or three systems simultaneously)