It’s generally a safe city during the day. The crime rate is very low compared to bigger cities. I’d avoid parks and the train station, as well as the surrounding areas, after dark.You’ll feel even safer if you’re out with other people at night.

Perugia is the city I've lived in for most of my life: we call it "perugia favelas" because expecially in some zones (fontivegge, ponte San Giovanni, prepo) there are big issues with drugs and criminality. Italy in general has a huge problem regarding women's safety, the patriarchal mentality is a shame in our culture. Personally I've experience bad sexual molestation in prepo's zone but the train station's area is even worse

Perugia is a safe city also during night, but to prevent bad or uncomfortable situations I do not recommend walking alone at night. However it’s a vibrant city during the weekend due to the multiple students that are living in it.