The 38-year-old was reported missing from the Coleraine area on Saturday, March 18.
A PSNI spokesperson said: “We believe that Francis went to the North Wales area having travelled from Dublin to Holyhead via the ferry.
“He may also have been intending to travel towards London or possibly further afield towards Sweden.
“Francis is described as medium build and approximately 6’ 4” and is bald.
“He also has a dark-coloured beard and brown eyes and a noticeable scar on his left hand.
“He was last wearing black trainers, Black tracksuit bottoms, white t-shirt and a black hoodie with a band ‘Slipknot’ logo on it and he would normally wear a beanie hat.
“You can also call Crimestoppers on 0800 555 111.
“In particular, if anyone has had any contact with Francis on or after March 28 and was on the ferry and remembers him, or have any information as to possible whereabouts for him, please contact police.”
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