Others scarfed down food before they filed into the center, afraid there would be no food once they turned themselves in to border officials.
After traveling for more than a month from Central America, about 400 migrants have begun arriving at the U.S. -Mexico border in Tijuana.
The caravan's organizers, immigrant rights activists and legal observers marched toward International Friendship Park, which straddles the U.S. -Mexico border, as the caravan's participants prepared to walk from Tijuana to San Diego. At its peak, more than 1,000 people were walking north through Mexico. The group travelled by bus, train and on foot together, documenting their journey on social media and attracting plenty of press coverage, to highlight the dangers migrants face trying to escape violence and persecution.
If migrants manage to get processed, they would be taken a detention center and interviewed by an asylum officer.
Nicole Ramos, an attorney working on behalf of caravan members, expressed disbelief that USA authorities can not process more asylum-seekers until its backlog eases.
Similar migrant caravans have ventured toward the U.S. border for the last several years. "They want in on the act!" he said in a series of tweet.
Migrants traveling in the "Migrant Via Crucis" caravan head to El Chaparral border crossing in Tijuana, Baja California state, Mexico.
Asylum seekers like Miriam are following USA law. Among them, Ramos said, some cases have still not yet been decided.
"Watch the caravan, watch how sad and awful it is, including for those people and the crime that they inflict on themselves and that others inflict on them", said Trump.
"We have already started", he said. "At end of migrant caravan on USA border, families fear what come next".
"Despite the Democrat inspired laws on Sanctuary Cities and the Border being so bad and one sided, I have instructed the Secretary of Homeland Security not to let these large Caravans of people into our Country".
One 38-year-old migrant on the caravan said she understands not everyone will welcome her to the US.
Earlier President Trump had vowed that he would keep pushing for the funding of an "anti-migration" border wall along the US-Mexico border.
"There are no jobs, no justice, no laws in Honduras", said 32-year-old Karen Gallo, one of the migrants on the caravan. He added that the asylum seekers might need to wait temporarily in Mexico. "The United States government is creating a humanitarian crisis".
"We're not here for entertainment, we can not live in our country, we are just people like everyone else", Honduran citizen Katerine Enamorado told the Union-Tribune as she clutched her year-old daughter.
He used the disappointing moment to make a political statement: "We hope that someday, the priorities of the United States government are such that we take care of people who are fleeing violence, before we try to round up people in our cities and deport them in ICE raids".
The Department of Homeland Security's inspector general is investigating the matter.