Mesothelioma Lawsuits People who suffer from asbestos-related illnesses such as mesothelioma may seek compensation from the companies responsible for their exposure. Compensation can help pay for the cost of medical expenses and lost wages. Each case is unique, however most lawsuits follow the same legal process. A mesothelioma lawyer can handle all legal proceedings, so that the victims and their families are able to focus on their treatment. Statute of Limitations Mesothelioma victims must submit their claims within the specific time frames