We recommend you contact your provider as soon as possible. If you didn't purchase full insurance, you may be charged by the rental company for any damages caused by the renter to the rented vehicle corresponding to repair costs.
Many companies offer additional or even full insurance as an extra service: BigTrip.it always recommends purchasing full insurance. If the rented vehicle is stolen, the Client must present keys, documents and the police theft complaint in order to avoid being charged. Always check your agreement with the rental company for additional terms.