The accused was identified in sub courts as Gursharan Singh, 25, who police had previously said was a friend of the victim Jasvinder Kaur's husband Harvinder Singh.
All three are Indian nationals.
Gursharan allegedly killed Kaur with the help of another man who is on the run, The Strait Times reported today.
The murder of Kaur, who worked as a beautician here, took place between December 10 and 12.
The case would be heard again on December 27.
Police found Kaur's trash bag-wrapped body floating in a canal on December 12.
The deceased's head was missing and both hands were severed at the wrists.
Police have searched through thrash at an incineration plant but have yet to find body parts.
Kaur's identity was established through forensic means on Wednesday, the report said.
The daily cited the couple's neighbours in Balestier Road, saying there was no sign of quarrel between Harvinder and his wife before her death.
Authorities were currently looking for Harvinder, 33, to assist with the probe.
Harvinder, who worked as senior logistics coordinator, left Singapore via a checkpoint to Malaysia, 30 minutes before Kaur's body was found.
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