Failure to do so entitles the plaintiff to apply to the president of the chamber to appoint an arbitrator for the party in default. The same applies if the arbitrators do not agree on the appointment of the umpire. There is no restriction on appointing one's own arbitrator as sole arbitrator, but provision to that effect must be made in the arbitration agreement. From then on, the arbitration follows its own course. Intervention by the chamber is limited to the fixing of a date and time for the first session of the tribunal and to the summoning of the parties to appear.
Submissions can be oral or made in writing.
Awards are registered with the chamber and with the Piraeus Court of First Instance. Although arbitration is extensively regulated in Greek law, court intervention is minimal. Awards are unappealable on either points of fact or points of law while, in cases were the parties themselves provide for an appeal procedure in their agreement, this could only be an appeal to some other arbitration tribunal and not to the ordinary courts. The parties' agreement to such an appeal must prescribe the conditions and period for appealing, as well as the procedure to be followed for the filing and hearing of the appeal. An award may only be challenged by way of an application for annulment for a limited number of reasons, relating to the conduct of the arbitration itself.