Conn. Gen. Stat. § 46b-408: Modification of Convention child support order.

(a) A tribunal of this state may not modify a Convention child support order if the obligee remains a resident of the foreign country where the support order was issued unless (1) the obligee submits to the jurisdiction of a tribunal of this state, either expressly or by defending on the merits of the case without objecting to the jurisdiction at the first available opportunity; or (2) the foreign tribunal lacks or refuses to exercise jurisdiction to modify its support order or issue a new support order.

(b) If a tribunal of this state does not modify a Convention child support order because the order is not recognized in this state, subsection (c) of section 46b-405 applies.