An estimated 1,300 men, women and children have begun the long march from Honduras north through Guatemala and Mexico, to what they hope will be a successful crossing of the border into the United States. They spent Sunday night at a community center in the town of Ocotepeque, Honduras, AP said in a previous report.
Montoya said many in the group might not be allowed to enter Guatemala because they lack official identification documents.
Hundreds more soon joined the ranks, wagering a mass exit could improve their chances for getting over borders.
The group has grown in size as it has made its way north, with many who already had planned to leave Honduras joining in, reasoning that traveling in large numbers would be safer.
Among the migrants are families with infants and toddlers. They packed light, most carrying little more than a backpack.
Some 1,300 people joined the so-called "March of the Migrant" - just days after the US urged Honduras' president to halt mass migration.
"Tell your people - don't put your families at risk by taking the risky journey north to attempt to enter the United States illegally", said the Vice President during the meeting.
Pence addressed the three leaders on Thursday in Washington, at the Conference for Prosperity and Security in Central America.
Frustration with poverty is a common explanation by migrants for participating in the latest caravan.
The country of 9.4 million people has also led the world for homicide rates in recent years. Other Hondurans handed out bottled water and food in a show of support.
Hondurans, fleeing poverty and violence, are seen here in San Pedro Sula.
The U.S. embassy in Honduras says migrants in the caravan are given false promises of entering the U.S.
"It hurts", he said between tears, "because one just wants an opportunity".
Mexico's Interior Ministry warned Saturday that Mexico does not issue entry visas for those who don't meet "the requirements to transit toward a neighboring country".
Once in Mexico, the migrants plan to seek asylum to remain in the country or request a visa to cross the USA border.