The Authority may, at any stage of criminal court proceedings prior to a conclusive judgment being determined, offer reconciliation with or accept such from any person who committed any of the crimes provided for in the Law, in consideration for an amount which is not less than the minimum amount of the prescribed fine and not more than the maximum amount of that fine. It shall be a condition for reconciliation in the crimes provided for in Articles 122, 124, 126 and 127 of the Law, in addition to paying the amounts referred to, that the amount of any benefit achieved or losses avoided be refunded, provided that the perpetrator is not a recidivist. The Authority shall determine the time period during which the accused shall fulfil the reconciliation conditions according to the aforesaid rules. In the event where reconciliation is achieved, the criminal case shall be terminated.