The most recent was on Sunday, the same day it was discovered a fire had been set in a tractor at a business yard in Omahu Rd, Hastings.
Police believe there are no links to or between a house fire in a vehicle and rental unit in Durham Ave, Napier, on the night of Christmas Day, and a house fire in Holmes Place, Flaxmere, on January 2.
Mr Honeyfield said police were still seeking any information which could be linked to the fires, including people walking or running through the Frimley area.
"There's no further information. So we're still reaching out to members of the public. You can't really rule out anyone."