Tex. Civ. Prac. & Rem. Code § 140.004

An issuer of a plan that provides benefits described by Section 140.002 under which the policy or plan issuer may be obligated to make payments or provide medical or surgical benefits to or on behalf of a covered individual as a result of a personal injury to the individual caused by the tortious conduct of a third party may contract to be subrogated to and have a right of reimbursement for payments made or costs of benefits provided from the individual's recovery for that injury, subject to this chapter.