Compassionate appointment is not a right, but a discretion of the employer, and the authorities should find a reason that without providing support to the family, the family may suffer financially for sustenance due to loss of bread earner in the family. You can submit a petition from the wife of the deceased explaining the financial instability due to the sudden loss of bread earner and praying for such an appointment. After one month if there is no reply, file an RTI application and seek information on the status of the petition. The deceased is at fag end of his career, and a few months are only left for his retirement, and he is expected to have taken proper care of his children and ought to have planned for a comfortable retirement. The family may receive several lakhs as retirement benefits. The employer takes care of all these obligations, and the prevailing policy and may decide on inquiring about the financial status of the family.