One person has been arrested following the incident.
Outlining the background, Sergeant Glen Warnock said: “At about 12.15am on Wednesday [Aug 27] someone went into the kitchen of a house at Ballycolman Estate and started a fire.
“Four people were in the house at the time, including two teenage children. Fortunately a smoke alarm was fitted and was working and it woke the householder, who was able to put the fire out. “At about the same time, a wheelie bin was set on fire at a neighbouring house.
We are keen to hear from anyone who was in the area and can help our enquiries into what was potentially a very serious incident.”
A 19-year-old woman was arrested in relation to the offences and has been bailed pending further enquiries.
Information can be given on the police non-emergency number 101. Alternatively, it can be provided to the Crimestoppers charity anonymously on 0800 555 111.