Yes and no. Insurance companies, as a general rule, will not provide full coverage insurance for vehicles with salvage titles they will however provide liability only insurance.
most insurance companies will insure a vehicle with a salvage title. As long as it is state certified.
Companies that do Motorcycle salvage are known as 'Salvage' companies. They will salvage parts to sell and /or rebuild cycles for customers for profit.
Some insurance companies will sell the car back to the owner. Others sell the totaled car to a salvage yard.
In general, individuals are not allowed to finance salvage cars; however, there are financing companies that provide funding for companies who process salvage cars.
Some companies will let you buy liability insurance. almost none will offer full coverage. A salvage title means the car has already been totalled before.
The have companies that will purchase damaged items of personal property or just about anything. They are in the business of repairing items are reselling them. The insurance company has lists of what they can normally sell damaged items for and this will result in a valuation.
In the U.S., Auto Insurance companies do not salvage a vehicle. If the vehicle claim is paid out as a total loss it is sold or auctioned off to a salvage or a junk yard. The junk yard may crush the vehicle for scrap metal value or salvage parts from the vehicle or even to re-title the car on a salvage title but this is totally up to the salvage yard or whomever the yard then re-sells the vehicle too.
Either of the following websites are companies that buy salvage cars erepairables.com/buy-salvage-cars or http://www.autobidmaster.com/carfinder-online-auto-auctions/
In Texas you do.