A system and a process are provided for transferring a cryogenic fluid such as liquefied natural gas between a floating transport vessel and a storage vessel. The fluid is transferred through at least one submerged/subsea/subsurface catenary flexible conduit, the conduits being configured to avoid damage from waves and abrasion or contact with the other conduits, the vessels, or other objects. A conduit transfer vessel is provided for storing the conduit in the water, delivering the conduit to each transport vessel, but standing off from the transport vessel during cryogenic fluid transfer, and then retrieving the conduit from the transport vessel, which greatly improves the safety of the cryogenic fluid transfer operations.