Tex. Local Government Code § 303.037

(a) Except as provided by Subsection (c), a corporation may indemnify a director, officer, employee, or agent or former director, officer, employee, or agent for expenses and costs, including attorney's fees, actually or necessarily incurred by the person in connection with a claim asserted against the person, by action in court or another forum, because of the person's being or having been a director, officer, employee, or agent.

(b) Except as provided by Subsection (c), if a corporation has not fully indemnified a director, officer, employee, or agent of the corporation under Subsection (a), the court in a proceeding in which a claim is asserted against the director, officer, employee, or agent of the corporation or a court having jurisdiction over an action brought by the director, officer, employee, or agent on a claim for indemnity may assess indemnity against the corporation or its receiver or trustee. The assessment must equal:

(1) the amount that the director, officer, employee, or agent paid to satisfy the judgment or compromise the claim, not including any amount paid the corporation; and

(2) to the extent the court considers reasonable and equitable, the expenses and costs, including attorney's fees, actually and necessarily incurred by the director, officer, employee, or agent in connection with the claim.

(c) A corporation may not provide indemnity in a matter if the director, officer, employee, or agent is guilty of negligence or misconduct in relation to the matter. A court may not assess indemnity unless it finds that the director, officer, employee, or agent was not guilty of negligence or misconduct in relation to the matter in which indemnity is sought.