This month, the Trump government announced a new impetus for legislation that would make it more difficult to seek refuge. Mr Trump has said that excessively permissive laws have brought a flood of migrants to the borders of the nation.
The aggressive approach of the president to the caravan seems to have shaken the resolve of some members.
Several people in Tijuana, even after they had traveled so far, wondered about the wisdom of the asylum application, considering the possibility that they could be held in their cases for a long time and separated from their children.
Fathers considered letting their families move on without believing that the US authorities considered women and children more friendly than men.
"I'm so scared," said Daisy Guardado, 40, who fled Honduras with her three daughters after a gang attacked them and killed her brother. Her three sons stay hidden in Honduras.
Lawyers have told her that she has a solid candidate for protection in the United States, but Mr. Trump's statements have shaken her. "I do not know what to do," she said.
Still, most were planning to continue their asylum applications.
Ignacio Villatoro, the father of José Villatoro, said he believes his family has a convincing case. In the face of blackmail threats from a gang, the family closed their bakery in Coatepeque, Guatemala, and fled.
"If Trump opens his heart," said Mr. Villatoro, "then my wife and children have a chance to cross."
Continue reading the main story