Craiova, like most Romanian cities, is generally safe. The crime rate is low compared to other European cities. During the day, public places are quite crowded and safe. You should of course remain vigilant, especially at night, and stay in well-lit, populated areas. As is the case anywhere, beware of pickpockets in public transportation and crowded tourist attractions. Always take standard precautions, such as not displaying valuable objects openly, and avoid less populated or poorly lit areas after dark. Always trust your instincts.