An intubation assembly includes an intubation probe adapted to be positioned in a tear duct. The probe includes a flexible tube and a flexible wire has an end which passes through an opening in the tube. The wire is used to pull the probe into the tear duct. The transition between the wire and the tube is continuous, that is, not having any sharp edge which could become stuck in the tear duct wall when the probe is pulled by the wire during displacement from the tear duct.