No motor carrier may operate in the United States in the course of transportation between places in a foreign country or between a place in one foreign country and a place in another foreign country unless and until there shall have been filed with and accepted by the FMCSA a certificate of insurance, surety bond, proof of qualifications as a self-insurer, or other securities or agreements in the amount prescribed in § 387.303(b), conditioned to pay any final judgment recovered against such motor carrier for bodily injuries to or the death of any person resulting from the negligent operation, maintenance, or use of motor vehicles in transportation between places in a foreign country or between a place in one foreign country and a place in another foreign country, insofar as such transportation takes place in the United States, or for loss of or damage to property of others. The security for the protection of the public required by this section shall be maintained in effect at all times and shall be subject to the provisions of §§ 387.309 through 387.319. The requirements of § 387.315(a) shall be satisfied if the insurance or surety company, in addition to having been approved by the FMCSA, is legally authorized to issue policies or surety bonds in at least one of the States in the United States, or one of the Provinces in Canada, and has filed with the FMCSA the name and address of a person upon whom legal process may be served in each State in or through which the motor carrier operates. Such designation may from time to time be changed by like designation similarly filed, but shall be maintained during the effectiveness of any certificate of insurance or surety bond issued by the company, and thereafter with respect to any claims arising during the effectiveness of such certificate or bond. The term “motor carrier” as used in this section shall not include private carriers or carriers operating under the partial exemption from regulation in 49 U.S.C. 13503 and 13506.