A house in Kirkbean was broken into whilst the occupants were away from home sometime between Thursday November 12 and Sunday November 15.
A large quantity of jewellery has been stolen in the raid including rings, necklaces and a large quantity of costume earrings. The value of the jewellery is estimated at more than £2000.
Case officer PC Kerry McAdam said: “We want to hear from anyone in the village who may have seen or heard anything suspicious over the weekend.”
Meanwhile, officers in Moffat are investigating what appears to be a sneak-in theft at a house in Grange Road in the town at around 4.15 pm on Saturday November 14.
Local police say that around this time, whilst the householders were in the house, someone has entered without being seen and stolen cash and jewellery.
The total value of the haul was more than £1000 and includes a number of gents and ladies watches, rings and necklaces.
Investigating officer PC Lisa Duff said: “We have a description of a man who was seen walking near the house around this time and we would very much like to speak to him.
“He is described as being about 5 feet 6 inches to 5 feet 8 inches tall, wearing black coloured smart trousers, a speckled tweed style brown coat, mid length, had dark hair and wore a black beret type hat.”
She added: “We are also appealing to other householders in the area to get in touch with us if they have had any suspicious activity at or near their homes over the weekend.”
Anyone with information about the thefts is asked to contact police on the non-emergency 101 telephone number.