Singh's body was found by a passer-by on Wilga Road, Willbriggie on Dec 29, 2009.
Police arrested a 25-year-old man at his home in Wagga Wagga and is expected to charge him with murder.
Earlier, Indian husband and wife were charged with Singh's alleged murder on Thursday, Jan 28 following their arrest in Sydney's south, The Sydney Morning Herald reports.
The husband (23) was arrested while working at the Crystal Cafe in Rocky Point Road, Sans Souci, while his 20-year-old wife was picked up at the house where they had been staying.
A motorist found Singh's badly burnt body off Wilga Road about 20 kilometres south of Griffith, in southern NSW.
An autopsy revealed that Singh, 25, who had been bound and had his throat slashed, had been stabbed many times and was set alight while still alive.
"It certainly was a very horrific scene. Given the injuries that Singh sustained and given the fact that he was set on fire [while] still alive ... it's probably at the upper end of the scale in terms of murders," Assistant Police Commissioner Mark Murdoch said.
Singh and the married couple knew each other through working as seasonal fruit pickers in Griffith, Murdoch said.