How to File an Asbestos Lawsuit Every asbestos case is unique However, there are common elements for a successful lawsuit. This includes proof of victim's injuries and proof of exposure. Asbestos claims should be filed according to state laws (also called statutes of limitations) and handled by a skilled lawyer. http://www.stes.tyc.edu.tw/xoops/modules/profile/userinfo.php?uid=1926820