N.Y. Insurance Law § 1101
(b)
(1) Except as provided in paragraph two, three, three-a, or seven of this subsection, any of the following acts in this state, effected by mail from outside this state or otherwise, by any person, firm, association, corporation or joint-stock company shall constitute doing an insurance business in this state and shall constitute doing business in the state within the meaning of section three hundred two of the civil practice law and rules:
(2) Notwithstanding the foregoing, the following acts or transactions, if effected by mail from outside this state by an unauthorized foreign or alien insurer duly licensed to transact the business of insurance in and by the laws of its domicile, shall not constitute doing an insurance business in this state, but section one thousand two hundred thirteen of this chapter shall nevertheless be applicable to such insurers:
(i) where such groups conform to the definitions of eligibility contained in;