N.Y. Fam. Ct. Act § 925
If the petitioner's spouse attends a conference to which he or she has been invited under section nine hundred twenty-two or has been directed to attend under section nine hundred twenty-four and thereafter does not attend any conciliation conference, the court, on due notice to both spouses, may hold a hearing to determine whether the proceeding should be continued. If it concludes that conciliation under the auspices of the family court is not feasible, it may refer the parties to interested voluntary social or religious agencies in the community and shall terminate the proceeding under this article. If it concludes that further efforts at conciliation under this article should be undertaken, it may direct the spouses to attend another conciliation conference.
N.Y. Family Court Law § 925