Wyo. Stat. § 42-4-114
The department may enter into a cooperative agreement and may contract with private attorneys to provide legal services and legal representation necessary to assist the department in enforcing its right to reimbursement created under article 2 of this chapter. The department and its contract attorneys shall have an unconditional right to intervene in any action by or on behalf of a recipient or former recipient against any third party who may be legally liable to reimburse any medical assistance provided under the Wyoming Medicaid program. If no action has been brought, the department and its contract attorneys may initiate and prosecute an independent action on behalf of the department against any third party that may be liable to the person to whom the care was furnished. If the department elects not to contract with private attorneys to provide legal services and representation under this section, the attorney general, or an appropriate county attorney, shall provide the legal services and representation.
W.S. 42-4-114