Six marked private hire cars and one black cab have been targeted by vandals in Gorgie.
The incidents happened at around 5am last Monday in Wheatfiield Road, Wardlaw Street, Wardlaw Terrace, and Westfield Road.
All of the vehicles had their windows smashed and officers believe the cases are linked.
Anyone with information is asked to come forward.
Constable Grant Robertson of Wester Hailes Community Team said: “Taxis and private hire vehicles have clearly been targeted on this occasion and thankfully in the main there was nothing of value within them.
“We are hoping that local residents or anyone who was within the area early on Monday 7th December remembers seeing something suspicious.
“I’d also like to advise all motorists not leave anything of value in their cars.”
Anyone with information can contact Police Scotland on 101.