In the first case, a 46-year-old woman died in a fire at her Al Majaz apartment while reportedly performing a ritual.
Though emergency teams responded quickly, she could not be saved.
Authorities are investigating the origin of the blaze and examining any potential breaches of safety regulations.
In the second incident, a 20-year-old woman allegedly killed her infant daughter before dying by suicide.
Marks on her neck suggested suicide, confirmed by medical examiners. Both bodies were sent for autopsy.
Sharjah police continue to investigate both cases as the Indian community mourns the losses.