Wyo. Stat. § 1-39-115: Settlement of claims.

(a) Upon receipt of a claim against the state which is covered by insurance, the general services division of the department of administration and information shall send the claim to the insurance company insuring the risk involved for investigation, adjustment, settlement and payment.

(b) A claim shall be settled only if the damage claimed was caused by such negligence on the part of the state or its public employees as might entitle the claimant to a judgment.

(c) Any person whose claim is rejected or who is unsatisfied with the settlement offered may commence an action in the appropriate court.

(d) Claims under this act which are not covered by insurance may be settled as provided by W.S. 1-41-106 or 1-42-204.