Texas fought & won independence from Mexico. While there was some argument over the Rio Nueces vs. the line Rio Grande -Rio Bravo (del norte).
That was settled, along with cession of NM, (current) AZ and CA, in the 1848 Guadalupe Hidalgo Treaty plus 15 million dollar payment for Mexican property claims.
Everything was consolidated with the Gadsden Purchase in '54 (?) The Mexican Congress ratified both the peace treaty and the purchase, their claims are zero, nothing left to talk about.