Detective Senior Sergeant Kallum Croudis said a large team of investigators had worked extensively on the case, but there was still work to do.
Several vehicles, another residential property and workplaces are part of the investigation.
The hours of work put in by members of Environmental Science and Research, both at the scene and the laboratory, had been invaluable in assisting police.
“We wish to thank members of the public for their information and CCTV footage provided, which has helped greatly with the investigation,” police said.
Senior Sergeant Anthony Bond, of Dunedin, said Pine Hill residents could expect an increased police presence during the investigation.
A team of 25 Dunedin-based investigators and Christchurch-based ESR scientists were looking into the death.
The investigation has included interviewing Singh’s family, friends and work colleagues to try to establish his movements before his death.
Those close to Singh expressed shock at the news of his death, describing him as a “good guy” who had no enemies or issues with anyone.
Otago Punjabi Foundation Trust member Narindervir Singh said he had met Gurjit Singh, a Chorus technician, at a biannual temple event and knew him to be friendly and hard working.
He had spoken to Gurjit Singh’s father on the day of his death.
“It’s really heartbreaking. His father is in a lot of depression and trauma because it’s just not understandable,” Narindervir Singh said.
Gurjit Singh suspected somebody had tried to break into his house in the past two weeks and had bought security cameras. However, he did not get the chance to install them.
He had not necessarily been concerned for his safety, but rather the security of his belongings, Narindervir Singh said.
“He was not having a fear for his life, he was having a fear that somebody will steal his hard-earned things.”