Contrary to other jurisdiction, Québec Law does not compel a lessee to subscribe “home insurance” which, in the event of a loss, covers his property and his civil liability. This “negative-obligation” becomes a problem if your lessee causes damages to a third party and he is not insured. In such cases, the declaration of co-ownership can hold you (the co-owner) solidarily liable for the damages he has caused.
Your lessee is liable for any damages he causes during the term of the rental. Civil liability insurance covers him against material damages or bodily harm he may inflict (unintentionally) to third parties, and against faults committed by persons he accommodates or lodges in his dwelling. This insurance also covers damages that his property may cause to third parties. For example, it will cover water damage to your apartment generated by an overflowing washing machine, and also in a neighbor’s apartment.