Tex. Est. Code § 403.060
When an independent administration is created and the order appointing an independent executor is entered by the probate court, any person having a debt against the estate may, by written complaint filed in the probate court in which the order was entered, cause all distributees of the estate, heirs at law, and other persons entitled to any portion of the estate under the will, if any, to be cited by personal service to appear before the court and execute a bond for an amount equal to the amount of the creditor's claim or the full value of the estate, as shown by the inventory and list of claims, whichever is smaller. The bond must be payable to the judge, and the judge's successors, and be approved by the judge, and conditioned that all obligors shall pay all debts that shall be established against the estate in the manner provided by law. On the return of the citation served, unless a person so entitled to any portion of the estate, or some of them, or some other person for them, shall execute the bond to the satisfaction of the probate court, the estate shall be administered and settled under the direction of the probate court as other estates are required to be settled. If the bond is executed and approved, the independent administration shall proceed. Creditors of the estate may sue on the bond, and shall be entitled to judgment on the bond for the amount of their debt, or they may have their action against those in possession of the estate.
Tex. Estates § 403.060