Tasmania Police are searching for two youths seen running from a structure fire on Thursday morning.
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The house, located in Rocherlea, was vacant.
The unit, at 3/24 Cupania Street, had been previously burned in August.
Tasmania Fire Service and Tasmania Police attended a small fire in the eaves of the property at around 1.30am.
The fire was quickly extinguished with the unoccupied property receiving only minor damage.
No-one was injured in the fire.
A Tasmania Fire Service spokeswoman said the fire was deemed deliberate.
Police would like to speak to two youths who were seen running from the rear of the property into vacant land shortly after the fire.
Anyone with information about the current fire, or any other fire in Cupania Street, is asked to contact Tasmania Police on 131 444.
Information can also be provided to anonymously to Crime Stoppers on 1800 333 000 or online at Crimestoppers.com.au
Launceston police, fire investigators and forensic officers attended the scene.