Mr Singh, aged 25, had been living at Wagga Wagga and was visiting Griffith at the time of his death. A passer-by found his body on December 29th beside Wilga Road at Willbriggie.
Inquiries led investigators to a Kookora Street home at Griffith where a search began on Tuesday night.
Griffith police Inspector Paul Smith on Wednesday described Mr Singh's death as "horrific" and repeated an appeal for public information.
"We are reaching out to all members of the Griffith community to come forward, including members of the local Indian community who might hold crucial information that could be the key to solving Mr Singh's death," Insp Smith said in a statement.
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"To assist with the investigation we have appointed an Indian-speaking detective as a liaison officer, who speaks Punjab and Hindi, and I would urge anyone with any information no matter how small, to contact us."
Police also want to hear from anyone who was in the area near Kookora Street and Griffin Lane in Griffith on December 28 and December 29.
