Relatives including his dad Steven, 40, and gran Geraldine, 61, are desperate for news of the 19-year-old, who was last seen on Monday.
Steven said: "Jamie's bank account was accessed in the West End of Glasgow on Monday, hours after he was last seen at his flat in Rowan Road in Cumbernauld."
As reported in yesterday's Evening Times, he sent a text message to his friend at around 3am the same day, and that was the last time his mobile phone was used.
Geraldine McAllister said: "We have tried everything and looked everywhere, it just feels like we are grasping at straws now."
Steven, who is in the Navy, has travelled back to Scotland from Plymouth to search for his son. Jamie is described as 5ft 9in, with a thin build and fair hair.