Wyo. Const. art. 4, § 9

Veto of items of appropriations. The governor shall have power to disapprove of any item or items or part or parts of any bill making appropriations of money or property embracing distinct items, and the part or parts of the bill approved shall be the law, and the item or items and part or parts disapproved shall be void unless enacted in the following manner: If the legislature be in session he shall transmit to the house in which the bill originated a copy of the item or items or part or parts thereof disapproved, together with his objections thereto, and the items or parts objected to shall be separately reconsidered, and each item or part shall then take the same course as is prescribed for the passage of bills over the executive veto.