Tex. Code Crim. Proc. art. 7.07

A surety upon any such bond may, at any time before a breach thereof, exonerate himself from the obligations of the same by delivering to any magistrate of the county where such bond was taken, the person of the defendant; and such magistrate shall in that case again require of the defendant bond, with other security in the same amount as the first bond; and the same proceeding shall be had as in the first instance, but the one year's time shall commence to run from the date of the first order.