The deceased, identified as Teoh Cheng Cheng, 38, apparently converted to Islam 17 years ago. Her Muslim name was Nora Teoh Abdullah (pix).
After several hours of discussion, Teoh's family allowed the officers to take away the coffin. The coffin was moved into a van belonging to the religious department at about 3.50pm.
It is learnt that the coffin would be taken to the mortuary pending further developments.
The family members said they would pursue the matter in the court.
It was reported that Teoh had fallen to her death from an apartment block on Saturday.
The woman, who worked as a waitress, has a Muslim boyfriend.