Texas Transportation Code - TRANSP § 601.151. Applicability of Subchapter

(1) an owner or operator who has in effect at the time of the collision a motor vehicle liability insurance policy that covers the motor vehicle involved in the collision;

(2) an operator who is not the owner of the motor vehicle, if a motor vehicle liability insurance policy or bond for the operation of a motor vehicle the person does not own is in effect at the time of the collision;

(3) an owner or operator whose liability for damages resulting from the collision, in the judgment of the department, is covered by another liability insurance policy or bond;

(4) an owner or operator, if there was not bodily injury to or damage of the property of a person other than the owner or operator;

(5) the owner or operator of a motor vehicle that at the time of the collision was legally parked or legally stopped at a traffic signal;

(6) the owner of a motor vehicle that at the time of the collision was being operated without the owner's express or implied permission or was parked by a person who had been operating the vehicle without that permission;  or

(7) a person qualifying as a self-insurer under Section 601.124 or a person operating a motor vehicle for a self-insurer.