You must first call the Teleclaim system at 1-877-632-7475 or 1-844-235-2054 to file your claim. Subrogation refers to a party assuming the rights of another party.In personal injury cases, subrogation often refers to reimbursement for medical bills. Need help with your insurance claim? Contact LMK Legal, your trusted Miami Subrogation and Recovery Lawyer, today and get the free consultation! Our Miami subrogation litigation attorneys assist a wide variety of clients, both domestic and international, in all subrogation litigation cases. Insurance Subrogation and Recovery. Conroy Simberg offers a highly successful and aggressive program in large loss insurance subrogation and recovery. It describes how an insurance company or an entity that pays medical expenses on behalf of an injured person has a right to be reimbursed for any payments made. Why do the largest insurers in the United States, Canada and the London Market trust us with their subrogation and recovery claims?