Here are a few insurance companies that offer
insurance facility for mobile phones - New India Assurance Company, National Insurance Company, Oriental Insurance Company, United India Insurance Company and Royal Sundaram General Insurance Company. But most of them provide the insurance plans in association with the manufacturers which is done at the time of purchase itself. You may need to contact your nearest branch if these insurance firms to get an idea on the available plans.
However, of late there have been some new startup firms dealing in gadget insurance. Though nothing authentic can be stated about them, there is no harm in contacting them. Here is a list -
Syska Gadget Secure They cover your phone security against theft, loss, repairs, damage by fire/water etc. The plan depends on the cost declared. Minimum is Rs. 599 per year and the maximum is at Rs. 1999 per year.
WarrantyAsiaThis is firm based in Delhi and offers insurance for almost all major manufacturers. The claim procedure is too complicated with a lot of terms and conditions. Besides, the claims are time based. You will get 75 % of the cost if in first 15 days, 65% if the handset cannot be repaired and 55% if the phone is stolen.
There are some other firms like gadgetcops and onsitego. You may contact them.