The woman was discovered on 12 September on the northern Adriatic island of Krk, sitting on a jagged rock close to the sea in a remote part of the island inhabited by bears.
Croatian rescue services said the woman had spent a night at the seashore and was found ‘exhausted and with light injuries and disoriented’.
Local media reported she responded to officers in English, but could not give her name.
She did not have any ID or a mobile phone either.
Police subsequently released photos of the blonde woman, with blue eyes and a bloodied face, and after receiving a number of tips from Croatia and abroad, she was identified as Daniela Adamcova.
The 57-year-old, from Slovakia, was identified following a tip from the US, where she reportedly lived until 2015, before moving to Ireland.
She was reportedly a successful jewellery designer who ended up becoming homeless.
The woman has since been transferred to a hospital in the town of Rijeka.
Police described her condition as ‘stable’ and said social services will take over once she is released from hospital.
In a statement, police thanked members of the public, the media and foreign police forces for their help identifying the woman.
The statement read: “The first of several reports leading to the identification of the woman found was received by police on 20 September, in the evening. As it appeared from what was submitted that the found female person could be a citizen of Slovakia, the assistance of the Slovak police was requested through international police cooperation.
“Thanks to good cooperation and appreciating that it was a matter of urgency, a response was received very quickly from the Slovak police, which confirmed that the woman was identified as a Slovak citizen, aged 57, through a photograph.
“The police would like to thank the citizens, from the country and abroad, domestic and foreign media, as well as their colleagues from Slovakia, for their help and cooperation, who contributed to establishing the identity of the found woman.
“According to what has been established so far, the Slovak citizen stayed in Croatia as a tourist, and the police will continue to determine the circumstances that preceded her arrival and discovery on the island of Krk, in the inaccessible terrain of Dobrinj.”