Can a co-signer take possession of a car if the primary borrower does not have auto liability insurance in Texas but the lender has taken out insurance to cover the car?

Yes, They can because that means that the primary borrower has failed to meet the requirements of the lender by maintaining coverage on the car. You are already in Default and subject to Repossession by not having the vehicle insured. This failure also increases the risk to the cosigner who is a guarantor on the note. If they decide to Repossess the vehicle and call in the note, your cosigner can be sued and will be held jointly and separately liable for the entirety of original note he cosigned as well as any new charges that have been added due to the primary borrowers breech of contract.

• A co signer can take charge of the car if the person they cosigned for is not able or does not do what they agreed to. When a financial institution takes out insurance on the car it is to solely keep the institution from being sued, it is not to fix or cover the borrower in anyway, but the borrower will have to pay for the insurance that the financial institution takes out, they usually put it onto the end of the note. Best to keep insurance on the car.