Mesothelioma Lawsuit After Death If someone close to you suffers from mesothelioma and later dies, family members may file a wrongful-death lawsuit. A wrongful death suit can assist families in honoring the memory of their loved ones and pay for funeral expenses. A mesothelioma suit for wrongful deaths targets asbestos companies responsible for the exposure of an individual. Each case is unique and the amount of compensation vary. Damages A mesothelioma lawsuit following death compensates the surviving family for expenses, such as medical cos