Police are now reviewing the search data and information provided by the public.
"Fliers have been put in mailboxes in surrounding properties, but due to the school holidays not all home owners have been spoken to.
"We urge anyone living, or who owns land, in the Whitecliffs area to check their outbuildings and properties for any sign that he may have travelled through the area."
Mr Finnie was wearing dark trackpants and a dark woollen jersey when he was last seen, but may have had a change of clothes with him.
He has recently suffered a stroke and may have appeared disoriented.
Police said they and Mr Finnie's family have serious concerns for him.
If you know where Neil is or have seen him in the last week please contact Christchurch police on 03 363 7400.