One of these Mexicans was Pedro Ignacio de Garcia, who once owned the land (600 acres) that comprises the Chamizal location. He referred his loss of land to the Mexican government in 1895, which then submitted his issue to International Boundary Commission. It wasn't until 1910 that a committee was created to arbitrate Garcia's dispute. It essentially voted to divided the Chamizal property between Texas and Mexico.
However the U.S. rejected this resolution and as a result the border was not settled until 1964. The Cold War was at its height in the early 1960s and the U.S. feared that the Soviet Union would try to gain influence over Mexico so it was imperative that the border issue be resolved once and for all. President John F. Kennedy started the negotiations but sadly was assassinated before he could see the issue officially come to an end.