At least one company that we work with, Direct General, writes insurance in Mississippi and will allow someone to start a policy with a Mexican driver’s license. However, you will have 30 days to provide a valid Mississippi driver’s license to Direct General after the start of the policy.
So while it is possible to obtain a car insurance policy with your Mexican driver's license, you will need to acquire a State license, from Mississippi in this case, to keep the insurance in force. This would be true of most any insurance company and not just Direct General.
According to the MS Department of Public Safety if you are a non-citizen of the United States you must meet all other requirements for obtaining an operator's license or identification card except for providing a social security (SSN) card. The license or identification card will be valid for one (1) year from date of issuance.
You must present valid immigration papers, including a birth certificate, passport, I-94, proof of domicile and alien resident card (if you have one) in order to apply for a Mississippi driver's license.
To get started on obtaining Mississippi car insurance, follow this link for an online quote.