Wyo. Stat. § 31-10-104 (2026)

In the event of payment to an insured under the coverage
required by W.S. 31-10-101 through 31-10-104 and subject to the
terms and conditions of the coverage, the insurer making the
payments is entitled to the proceeds of any settlement or
judgment resulting from the exercise of any rights of recovery
of the insured against any person or organization legally
responsible for the bodily injury or death for which the payment
is made, including the proceeds recoverable from the assets of
the insolvent insurer. Whenever an insurer makes payment under
the coverage required by this section which is occasioned by an
insolvency, the insurer's right of recovery or reimbursement
shall not include any rights against the insured of the
insolvent insurer, but the paying insurer may proceed directly
against the insolvent insurer or its receiver, and in pursuance
of this right the paying insurer shall possess any rights which
the insured of the insolvent company might otherwise have had,
if the insured of the insolvent insurer had personally made
payment.