A method and apparatus for the efficient and controllable delivery of cryogen liquid droplets into thin walled containers. Discharge of the droplets is facilitated using a horizontal displacement assembly to transport metered droplets from a liquid dosing unit to the point of injection above the container. The horizontal displacement assembly may be provided with internal heaters to prevent freeze up, and a sensor to confirm droplet discharge. It may also be provided with a separate source of heated nitrogen gas, which can be used to back purge the dispensing unit should it become clogged, to melt any frozen liquid occlusions which may have formed in the cryogen supply line.