Graham Snell was reported missing on 30 June, and was last seen alive in Chesterfield town centre on 19 June, according to police.
Daniel Walsh, 29, has since been charged with the murder of the 71-year-old.
After reports that Mr Snell’s body was “dismembered”, police have said they are searching a small pond.
Derbyshire Police had been searching Mr Snell’s property in Marsden Street as well as a property in Oakmoor Close, before extending their inquiries.
Superintendent Gareth Meadows said: “As you will be aware last week 29-year-old Daniel Walsh, of Marsden Street, Chesterfield, was charged with the murder of Graham Snell.
“Graham was a man who was well-known and well-liked in the area and our thoughts are with his friends and family at this time.
“Recent media reports regarding this case have revealed specific details about the investigation, including the fact that Mr Snell was dismembered.”
Supt Meadows added: “Officers are currently searching for a number of Mr Snell’s body parts which are currently outstanding.
“I would like to take this opportunity to ask the people of Chesterfield, once again, to come forward with any information that they think may be of use to the investigation.
“As you will be aware, we have been searching two addresses in the town – Marsden Street and Oakmoor Close – and today officers are in attendance at a small pond in Newland Gardens, off Newbold Road.”
“Detectives are still keen to hear from anyone who may have seen anything suspicious, or out of the ordinary, between June 19 and 30.
“In particular, we are keen to hear from anyone who may have seen a man acting suspiciously between those dates carrying bags in or around the town.”