Generally Turin can be considered a safe city. Be aware that the Porta Nuova area train station can be pretty dangerous in its east side, not only at night watch out for pickpockets. This especially applies to the San Salvario neighbourhoods, which lies between the station and Parco Valentino. Be very careful especially with your luggage and backpacks.
Also the areas near Porta Palazzo can be dangerous, especially in the smaller streets.
