Conn. Gen. Stat. § 52-59d: Service of process outside country to be in accordance with treaty or convention or court order.

(a) Notwithstanding any provision of the general statutes relating to service of process, civil process shall not be served outside of the United States of America in violation of any applicable treaty or convention, including without limitation, the Hague Convention on Service of Process Abroad.

(b) If service of process cannot be made under the applicable treaty or convention within sixty days, the Superior Court may, upon application, order service of process upon such terms as the court deems reasonably calculated to give the defendant actual notice of the proceedings in sufficient time to enable the defendant to defend.