The judge to whom a matter is assigned may order the following matters pending in the Probate Division referred to mediation by entering an Order of Referral:
Following the entry of an Order of Referral, the parties shall participate in the court-annexed mediation as set forth in these Rules. Each Order of Referral shall set a court appearance for the twenty-first day following the date of entry of the Order of Referral (unless that date falls on a court holiday, in which case the Order of Referral shall set the court day following that court holiday). The parties need appear on that date only if, by that date, they have not been able to agree upon a mediator. Upon reaching agreement as to the mediator, the parties shall file the stipulation with the court and deliver courtesy copies to the referring judge and to the Court-Annexed Mediation Supervisor at the Mandatory Arbitration Center at 222 North LaSalle Street, Chicago, Illinois 60601.
Within fourteen (14) days after entry of the Order of Referral, a party may move to set aside or modify the order. Upon good cause shown, the court may exercise its discretion and set aside or modify the order.
Ill. R. Cir. Ct. Cook Cnty. 24.02