As someone from Rome, I feel you. Pickpocketing is somewhat an issue. In more than 20 years living in the city (before I moved) I never suffered from it, but it’s very common among tourists (especially in the underground and certain bus lines). It sucks and often police does nothing because by the time they catch the people (if they do), everything is gone anyway.

That said, beside pickpocketing Rome is very safe (or at least most of the places where a tourist would go, except maybe the surroundings of Termini station).