Tex. Est. Code § 354.052
After the executor or administrator has rendered the exhibit of the condition of the estate if required under Section 354.051, one or more persons entitled to the estate, or other persons for them, may execute and deliver a bond to the court. The bond must be:
(1) conditioned that the persons executing the bond shall:
(A) pay all unpaid debts against the estate that have been or are:
Added by Acts 2009, 81st Leg., R.S., Ch. 680 (H.B. 2502), Sec. 1, eff. January 1, 2014.