At 6.30pm last Wednesday, September 18, three men aged in their early 20s were allegedly seen damaging a car and house window on Balbeggie Street in the Douglas area of Dundee.
The suspects arrived in a dark-coloured Vauxhall Vectra driven by a fourth man, police said. They banged on the front door of one property before breaking the windows of a parked car, and then threw an object which broke the glass of a window at the address.
The men left in the car, heading towards Balerno Place. Dark hooded tops were worn by the suspects, one had a Nike swoosh design and one man had red hair which was seen from under his hood.
Less than three hours later, two men arrived at the same address at 9pm allegedly with weapons but left shortly afterwards in a silver people carrier.
Both were wearing dark hooded tops.
Officers have said they are pursuing positive lines of inquiry for the connected incidents and have asked the suspects to come forward.
Detective Inspector Gary Ogilvie said: "These individuals are well aware that we are looking for them and that we will continue to make inquiries with their families, friends and associates. They should know that the net is closing."
CCTV footage will be reviewed by police and door-to-door inquiries are continuing.