At present I am covered under group Mediclaim policy, which my employer organization has provided. When I retire at the age of 60 then I will take a policy in my name. Please comment?

Theoretically you can take the Mediclaim policy when you are 60.In practice it may not be so. Most of the Insurance Companies are not underwriting policies for those who are above 50 years. ICICI Lombard is the only one but the policy you can take here is having the maximum limit of Rs. 2,00,000 only. It means even if you are covered for Rs. 3,00,000 under the group policy of your employer you may have to agree for sum assured of Rs. 2,00,000 at a time when due to age your need may be higher.
Royal Sundaram can insure you at this stage, provided your child is the proposer and also takes the same sum assured. It means if wish to get insured for Rs. 3,00,000 then your son, his wife should also be covered for Rs. 3,00,000 each. Royal Sundaram has maximum limit of Rs 3,00,000. Let us take an example.
At the age of 49 years you take policy of Rs. 5,00,000 then you will be paying Rs. 6500/year. Till the age of 70 you will pay Rs. 6500 x 21= Rs. 132000.If at the age of 60 years you tak ICICI Lombard policy then from 60 to 70 years for coverag Rs. 2,00,000 you will pay Rs. 14000×10 = Rs. 1,40,000. This shows that it is better to take a policy on your own account in addition to your employer scheme.