R.I. Gen. Laws § 44-9-29
Any person claiming an interest, on or before the return day or within that further time as may on motion be allowed by the court, providing the motion is made prior to the fixed return day, shall, if he or she desires to redeem, file an answer setting forth his or her right in the land, and an offer to redeem upon the terms as may be fixed by the court. Where an answer has been timely filed, the court shall hear the parties, and may in its discretion make a finding allowing the party to redeem, within a time fixed by the court, upon payment to the petitioner of an amount sufficient to cover the original sum, costs, penalties, and all subsequent taxes, costs, and interest to which the petitioner may be entitled, together with the costs of the proceeding and counsel fee as the court deems reasonable. The court may impose other terms as justice and the circumstances warrant.
R.I. Gen. Laws § 44-9-29