The correct answer to this open question is the following.
I think the border dispute would have been resolved if the American army had not crossed the Nueces River into the disputed land through the diplomatic via, although the issue was "hot" and there was not a good predisposition of México and the United States to resolve it in an amicable way.
The federal government of México defended its idea that the natural border with the United States was the Nueces River, in Texas. However, the United States had a different idea and the US government defend its idea that the border was the Río Grande. And that is how the problem became bigger and bigger until it ended up in the war between México and the United States.
