Tex. Code Crim. Proc. art. 17
If the accused is not arrested under warrant of the Governor by the expiration of the time specified in the warrant or bond, a judge or magistrate may discharge him or may recommit him for a further period not to exceed sixty days, or a judge or magistrate may again take bail for his appearance and surrender, as provided in Section 16, but within a period not to exceed sixty days after the date of such new bond.