Police are investigating two fires in Leslie on Sunday.
A front door was damaged and a pile of rubbish set alight in Bank Place in the early hours and early evening.
Officers warned the blazes could have had serious consequences and appealed for anyone who saw anything suspicious to contact them.
Police Sergeant Cheryl Young, of Glenrothes Police Station, said: “This behaviour could easily have had more devastating consequences and at such a difficult time for both the public and the emergency services.
“There is no place for such disregard for public safety in our communities and this incident will be robustly investigated.
“I am appealing to anyone who may have noticed any suspicious activity in the Bank Place area in the early hours and early evening of Sunday, May 10, to get in touch with police as soon as possible.
“I would also appeal to anyone with private CCTV in the surrounding areas to contact police.”
Anyone with information should call police on 101, quoting reference number 350 of May 10.
