Code of Federal Regulations Title 43. Public Lands:  Interior § 43.3102.2 Aliens

Leases or interests therein may be acquired and held by aliens only through stock ownership, holding or control in a present or potential lessee that is incorporated under the laws of the United States or of any State or territory thereof, and only if the laws, customs or regulations of their country do not deny similar or like privileges to citizens or corporations of the United States. If it is determined that a country has denied similar or like privileges to citizens or corporations of the United States, it would be placed on a list available from any Bureau of Land Management State office.