Police patrols have been stepped up in Portobello after a four-year-old girl was indecently assaulted on the beach at the weekend.
The incident happened around 2.15pm on Saturday when a mother was on the beach with her daughter.
Police said a male had approached and touched the girl inappropriately.
Officers have since been pursuing various lines of local inquiry to trace the male responsible and are now urging members of the public who believe they can assist with the investigation to come forward.
Inspector Murray Starkey said patrols had been stepped up in Portobello as a result of the incident.
He said: “We urge people to keep an eye on small children and if they see anything suspicious to report the matter immediately to the police.”
The man is described as white, mid to late 30s, around 6ft tall with dark hair and glasses.
He was wearing a pink/orange T-shirt, dark blue shorts, white trainers and a black bum-bag around his waist.
Portobello beach has been particularly busy during the recent spell of hot weather.
Detective Inspector Dougie Moran said: “We are still trying to establish exactly what has happened during this incident and had been following up a number of lines of investigation since the matter was reported to us.
“We are now keen to hear from other members of the public who were on the beach at the time.
“Anyone who saw this male or who has any information relevant to our ongoing enquiries is asked to contact police immediately.
“In the meantime, we have a high-visibility presence in and around Portobello Beach
to engage with the public, gather information and offer reassurance to the local community.”
Anyone with information can contact Police Scotland on 101 or alternatively, the charity, Crimestoppers on 0800 555 111.