“We are working with the Irish police to ascertain whether it is the same person,” the spokesperson said.
“We are aware some Irish media outlets are reporting that a man of the same name and age has been found dead in Donegal.”
On Tuesday, officers said they would not be releasing the results of a post-mortem examination for “operational reasons”.
The Slieve League cliffs were closed for much of last week as gardaí investigated an alleged assault in the area between 24 and 25 June.
Two people arrested in relation to the incident – a man in his 30s, and a woman in her 20s – were released on Tuesday evening without charge.
Police said an incident room had been set up at Ballyshannon Garda Station.
They appealed for dash-cam footage and information from anyone who noticed anything that drew their attention in the areas of Slieve League and Killybegs between the afternoon of 24 June and the evening of 25 June.