[2] It was modified by the Banco Convention of March 20, 1905 to retain the courses of the Rio Grande and the Colorado River as international boundaries in the event of sudden changes.

[2] Because the course of the Rio Grande was not static, to maintain the location of the river as the international boundary presented diplomatic and practical challenges.

The river changed course frequently where it flowed through areas of relatively loose alluvial soil, doubling back on itself as it wound its way through the Lower Rio Grande Valley.

Especially in times of flooding, tracts of land called "bancos" were created by avulsive changes that cut off entire oxbow-shaped meanders.

Under the treaty, the following transfers involving Texas occurred from 1910 to 1976:[6] In 1927 under this convention, the U.S. acquired two bancos from Mexico at the Colorado River border with Arizona.