Liability insurance was born with the goal of protecting the net worth of the assureds. Like other insurance products, it has clear and pre-stated boundaries: the actual damage, the insured capital, and other stipulations which establishes deductibles and coverage exclusions. On the other hand, Liability insurance has contributed to the expansion of the tort system. Courts, now a day, aim at granting extensive indemnifications to the damaged. While the civil courts aspire to repair losses adequately, some court decisions disregard the traditional limits and the future of Liability insurance. The authors wonder whether it is about time to think in alternative solutions for those who ask for damage compensations.