The grey-haired man was discovered in Credenhill, Herefordshire by two passers by who described him as looking lost on November 7 last year.
He was taken to Hereford County Hospital where he told doctors his name was Roger Curry but said he could not remember anything else about himself.
West Mercia police have tried to retrace the man’s steps using CCTV and contacted nursing homes, care agencies, local authorities and neighbouring police forces
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The missing persons co-ordinator at West Mercia Police, Adam Vanner, said: "We ran his fingerprints through our database and put out a national broadcast to every force to see if he matched with any of their missing people.
"We notified the Missing Persons Bureau and our corporate communications put out an appeal through the local media."
After initial inquiries police now believe 'Roger Curry' is not his real and is actually a friend of the pensioner who has since died.
The elusive pensioner speaks with an American or Canadian accent but detectives drew another blank internationally after contacting both countries embassies.
Doctors believe his condition is related to dementia however there are no records of him ever receiving treatment.
Yesterday, police released photographs of the man in the hope a friend or relative will recognise him.
If we can identify who Roger is and better understand his background, we can ensure he's receiving the right care
Mr Vanner, said that they had a positive response to the photographs with a member of the public recognising the man.
"Someone contacted us and said they thought they recognised the man.
"They said they believed he had served in the Army in Hereford and the name he had given was that of a friend who had died.
"We managed to get in touch with the ex-commanding officer and we are in the process of checking their records of all the ex-servicemen back to World War Two.
"Unfortunately the name the member of the public gave us is not a match. But we will continue to explore that avenue."
Police have described the elderly man as white, tall and of slim build with grey hair, blue eyes and grey stubble.
Officers said he squints so may normally wear glasses and was found wearing a black hooded top, black jogging trousers, grey and blue socks and lace up trainers.
A spokesperson for West Mercia Police added: "Following all lines of enquiry, West Mercia Police have yet to received any missing person reports of a man matching his description or going by the name Roger Curry, but enquiries are ongoing to establish if he has been reported missing by family or friends nationally or internationally."
Herefordshire Council is currently paying for the man's care but said the Department for Work and Pensions won't give funding without knowing his true identity
Mandy Appleby, the authority's head of safeguarding, said: "If we can identify who Roger is and better understand his background, we can ensure he's receiving the right care to meet his needs.
"This is why we're appealing for help to identify him, so if anyone knows who Roger is or where he may have lived, please contact West Mercia Police on 101."
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Louise Vesely-Shore, from the National Crime Agency's Missing Persons Bureau, said they only saw "a handful" of people in Roger's situation each year and most were identified "quite quickly".
She added: "People with no memory are often taken to hospital to see if there is a physical or mental issue which requires treatment.
"Treatment can sometimes help them to remember pieces of information which can help identify them."
Anyone who knows who the man is asked to contact West Mercia Police on 101 quoting incident number 309s of November 8
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