The Grievance Committee or the Office of Chief Counsel ("disciplinary office") may refer attorney-client disputes to mediation pursuant to this Part when it determines, upon receipt of a complaint relating to an attorney's conduct, that mediation may be an appropriate alternative method of resolving the dispute. Disputes involving the following matters shall not be eligible for mediation:
N.Y. Comp. Codes R. & Regs. Tit. 22 § 1220.1