David Greaves (41) left Jersey in 2019 and his current whereabouts are unknown.
Officers said they believe he “may be working and living in Europe”, but that “all possible lines of enquiry have been exhausted”.
In a statement, they added: “Greaves is 6’2 tall and a heavy set man, however, his build could have changed over the last few years.
“Greaves is a serial fraudster and will, no doubt be committing further offences wherever he is now.
“We would like to bring him back to Jersey to face justice.”
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CAN YOU HELP?
Anyone with any information on his whereabouts is asked to get in touch.
Islanders can telephone 01534 612962, email hello@jersey.police.je or make an anonymous report via the independent charity Crimestoppers on 0800 555 111 or using their anonymous online form.