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State tax filing
In order to get the full refund of your WI state income tax withholdings, you will need to file a nonresident WI return but report zero "0" income from WI (even though you do have WI wage income). You need to file your WI return this way because IL does not allow a credit for tax paid to a reciprocal state on wages, salaries and commissions. If tax was withheld by a reciprocal state (WI), you must file directly with the state for a refund of those taxes. You must mail in this WI nonresident state income tax return and include your state W-2 information. You will want to include an explanatory statement with your WI return stating your situation (that your WI employer withheld WI taxes from your wages in error due to a reciprocal agreement with IL).
You can add a state under the state taxes tab.