Texas Estates Code - EST § 504.053. Effect of Rejection of Testamentary Instrument by Foreign Jurisdiction

(a) Except as provided by Subsection (b), final rejection of a will or other testamentary instrument from probate or establishment in a foreign jurisdiction in which the testator was domiciled at the time of the testator's death is conclusive in this state.

(b) A will or other testamentary instrument that is finally rejected from probate or establishment in a foreign jurisdiction in which the testator was domiciled at the time of the testator's death may be admitted to probate or continue to be effective in this state if the will or other instrument was rejected solely for a cause that is not a ground for rejection of a will of a testator who died domiciled in this state.