N.Y. Partnership Law § 121-109
(a) Service of process on the secretary of state as agent of a domestic or authorized foreign limited partnership shall be made as follows:
(b) In any case in which a non-domiciliary would be subject to the personal or other jurisdiction of the courts of this state under article three of the civil practice law and rules, a foreign limited partnership not authorized to do business in this state is subject to a like jurisdiction. In any such case, process against such foreign limited partnership may be served upon the secretary of state as its agent. Such process may issue in any court in this state having jurisdiction of the subject matter. Service of process upon the secretary of state shall be made by personally delivering to and leaving with him or his deputy, or with any person authorized by the secretary of state to receive such service, at the office of the department of state in the city of Albany, a copy of such process together with the statutory fee, which fee shall be a taxable disbursement. Such service shall be sufficient if notice thereof and a copy of the process are: