R.I. Gen. Laws § 12-22-14

The superior court, in any criminal case appealed to that court in which the defendant paid his or her fine and costs in the lower court, may, upon application made within three (3) years after a finding of not guilty or the deferring or suspension of sentence, order the amount of the fine and costs to be refunded to the defendant, and in that case the clerk of the superior court shall submit a properly authenticated voucher to the state controller who is authorized and directed to draw his or her order upon the general treasurer for the payment of that sum. The general assembly shall annually appropriate any sum that it shall deem necessary to carry out the provisions of this section.