The caravan organizer, Irineo Mujica, said that undocumented immigrants are also hoping to have talks with representatives of the United Nations and Organization of American States. "He was taking forever", said one of the men who helped him, telling AFP he has seen people scale the six-meter (20-foot) wall in one minute flat.
"My mission is to reach Tijuana, even if I have to beg for money and hitchhike", she said.
Mujica, the director of Pueblo Sin Fronteras, a migrants' rights group, said he never meant to bumrush illegal immigrants over the border.
Organizers say that migrants can now take buses on their own to Puebla, a city south of the capital, where a workshop on immigration law is planned for Friday. While some might argue that cutting aid to the Honduran government should happen given last fall's irregular elections and the country's on-going human rights violations, we know that President Trump is not making this threat on those bases.
"To be young, in my country, is a crime", Mr Rodriguez said. When the caravan came together there they saw it as a good opportunity to make a move with safety in numbers.
He claimed women from Central America are raped at "levels that nobody has ever seen before".
In Mexico's more remote states, the federal government's go-to strategy has overlooked local criminal dynamics and how they relate to local actors like politicians and the Catholic Church, which may limit the effectiveness of the approach. Mujica said that "a minimum of 80 percent" of the migrants in the group come from Honduras.
"They promised me they would stop, that they would ensure a free election so it could be an election by the people", he said.
The hundreds of people gathered here still face daunting prospects.
She would like to get into the US, where she has a cousin in Houston.
This apparent contradiction between accounts raises a question: Are the caravan's marchers or organizers shifting their story about wanting to go to the United States because of the media spotlight that has been placed upon them, or were previous reports about their intentions and objective incorrect?
He added: "They're sending people that have a lot of problems, and they're bringing those problems with us. We will act only in the best interest of Mexican". In a barrage of tweets, he threatened to end the North American Free Trade Agreement (NAFTA) to punish Mexico for not detaining immigrants, blamed Democrats for weak immigration laws, and boldly exclaimed that DACA, the program to help students and professionals brought to the U.S. as children, was dead.
Trump appeared to be referring to the unsafe journey migrants often take through Central America to get to Mexico and the US. He has also threatened to reduce US aid to Honduras, the home country of numerous marchers.