More than 200 lines of inquiry are being pursued into the murder of Kenneth O'Brien, whose remains were found in a suitcase in a section of the Grand Canal at Ardclough, Co Kildare on Saturday.
The inquiry into the 33-year-old Dublin man’s killing has entered its sixth day and gardaí are investigating hostile communications and threats Mr O'Brien may have received before he was killed.
His finances, friendships and relationships are also being examined.
Detectives are liaising with Interpol to find out more about the time Mr O'Brien recently spent in Australia. He returned to Ireland from there in December.
Yesterday, gardaí searched his home in Clondalkin where he lived with his partner and son.
Gardaí are continuing to try to establish the place or places where he was killed and where his body was dismembered.
They have appealed to the public to contact them if they have noticed a business premises or a house that has recently been disturbed, altered or cleaned.