Murugaiya Suresh Kumar, a technician with a Singaporean company, was found dead with injuries to his head, neck and had deformities on his left hand near 72 Pandan Loop on the west coast.
Straits Times today reported about the fresh arrests but did not say anything about their identity.
Kumar was found motionless at an industrial estate after he was reportedly attacked.
On Wednesday, another Indian national Thiruppathi Veerapperumalan, also 26, was the first to be charged for Kumar's murder. He has denied the charge.
Anyone convicted of murder faces the death penalty in Singapore.