(CNN) —
Thousands of migrants are about to arrive at Mexico’s doorstep. And US Secretary of State Mike Pompeo is meeting with officials in Mexico’s capital to discuss the situation.
The Honduran migrants, trekking in a caravan toward Mexico’s southern border, say they’re heading for the United States – fleeing violence and searching for economic opportunity.
Pompeo, meanwhile, is heading into meetings in Mexico City with a message for leaders there about the massive caravan of migrants: Stop them before they reach the US border.
The key questions: Will Mexico let the migrants in? And what will happen if they do?
The caravan quickly grabbed the attention of world leaders as word of its formation spread over the weekend. By Tuesday, US President Donald Trump had weighed in with a warning, threatening to cut foreign aid to Honduras if the group didn’t turn back.
But government statements, Twitter posts and even a police blockade haven’t succeeded in stopping the caravan. Thousands of Honduran migrants are traveling through Guatemala, according to humanitarian aid groups. And hundreds more are traveling through El Salvador en route to Guatemala.
Photos: The caravan's journey, in photos
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Migrants heading in a caravan to the United States rest on a basketball court in San Pedro Tapanatepec, Mexico. on Sunday, October 28.
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Migrants rest on a road between the Mexican states of Chiapas and Oaxaca after federal police briefly blocked them outside the town of Arriaga on Saturday, October 27.
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The caravan comes to a standstill after police block it outside Arriaga on Saturday.
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Police in riot gear block the highway to stop a caravan of thousands of Central American migrants from advancing through Mexico on Saturday.
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Migrants travel on a cattle truck, as a thousands-strong caravan of Central American migrants slowly makes its way toward the US border, between Pijijiapan and Arriaga, Mexico, on Friday, October 26.
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Migrants heading in caravan to the United States rest on the train tracks in Arriaga, Mexico.
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A truck of migrants heads in a caravan to the United States. Defense Secretary James Mattis is expected to sign deployment orders that could send 800 or more US troops to the border.
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Jensi, a 14 year old migrant girl from Honduras, baths in a fresh water stream as she and others, part of caravan of thousands from Central America en route to the United States, take rest in Pijijiapan, Mexico on October 25.
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Central American migrants rest for the night in Pijijiapan, Mexico, on Thursday, October 25.
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Families rest on a roadside between Mapastepec and Huixtla, Mexico, while traveling with thousands of migrants from Central America in a caravan en route to the United States, on Wednesday, October 24.
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Migrants ride on the back of a truck heading to the US border from the outskirts of Tapachula, Mexico, on Monday, October 22. The majority of migrants made their way on foot. But some also flagged down cars and trucks passing by and piled onto any vehicle that would take them.
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Migrants take shelter from the weather under a tarp as they rest in the town of Huixtla, Mexico, on October 22.
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Migrants select clothes that have been placed along the road by Mexican citizens.
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Migrants rest in the town of Huixtla, Mexico.
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Migrant men bathe using water from a fire hydrant at the main plaza in Tapachula, Mexico.
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A migrant caravan headed to the United States walks into Mexico after crossing the Guatemalan border on Sunday, October 21.
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Ueslei Marcelino/REUTERS
Central American migrants hitchhike along the highway near the border with Guatemala, as they continue their journey trying to reach the United States.
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A Mexican Federal Police helicopter flies over migrants heading in a caravan to the United States, on the road linking Ciudad Hidalgo and Tapachula in Mexico.
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Central American migrants walk north toward Tapachula after departing Ciudad Hidalgo, Mexico.
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Local residents cheer as a migrant caravan walks into the interior of Mexico after crossing the Guatemalan border.
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Migrants still on the Guatemalan side of the border sleep at a temporary immigrant shelter on Sunday in Ciudad Tecun Uman, Guatemala. The caravan of thousands of Central Americans made its way into Mexico with some members hoping to eventually reach the United States.
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Honduran migrants, part of a caravan heading toward the United States, travel on the road linking Ciudad Hidalgo and Tapachula, Chiapas state, Mexico, on Sunday.
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Central American migrants walking to the United States continue their journey, departing Ciudad Hidalgo, Mexico, on Sunday.
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A Honduran migrant boy, part of a caravan heading to the United States, walks on the road linking Ciudad Hidalgo and Tapachula, Chiapas state, Mexico, on Sunday.
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Honduran migrants who have already reached Mexican soil cheer at the rest of the group still waiting to cross at the Guatemala-Mexico border bridge in Ciudad Hidalgo, Mexico, on Saturday, October 20.
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Children of migrants, part of the caravan, on Saturday wait with their parents to apply for asylum in Mexico at a checkpoint in Ciudad Hidalgo, Mexico.
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A Honduran migrant mother and her son walk on the bridge after crossing the border between Guatemala and Mexico on Saturday.
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Mexican paramedics help a Honduran woman who fainted after crossing the border between Guatemala and Mexico on Saturday.
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Honduran migrants help some of their members get down to the Suchiate River from the Guatemala-Mexico border bridge in Ciudad Hidalgo on Saturday.
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A migrant is comforted by a Mexican paramedic after her mother fainted while crossing the border between Guatemala and Mexico.
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Honduran migrants from the caravan on Saturday cross the Suchiate River, a natural border between Guatemala and Mexico.
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A Honduran migrant looks through the gate on the bridge that connects Mexico and Guatemala in Tecun Uman, Guatemala, on Saturday.
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Migrants in the caravan wait on Saturday for the opening of the gate on the bridge that connects Guatemala to Mexico.
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Thousands of Honduran migrants rush across the border toward Mexico, in Tecun Uman, Guatemala, Friday, October 19.
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A Honduran man protects his child after fellow migrants, part of a caravan trying to reach the United States, stormed a border checkpoint in Guatemala, in Ciudad Hidalgo, Mexico, Friday, October 19.
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Honduran migrants, part of a caravan trying to reach the United States, storm a border checkpoint to cross into Mexico, in Tecun Uman, Guatemala, Friday, October 19.
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Mexican federal police officers allow women and children taking part in a caravan of Honduran migrants heading to the United States to cross to Mexico in the border city of Tecun Uman, Guatemala, on Friday, October 19.
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An aerial view shows a Honduran migrant caravan heading to the United States as it is stopped at a border barrier on the Guatemala-Mexico international bridge in Ciudad Hidalgo, Mexico, on Friday, October 19.
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Honduran migrants heading in a caravan to the United States remove a barrier at the Guatemala-Mexico border bridge in Ciudad Hidalgo, Mexico, on Friday, October 19.
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A child is lifted over the border fence as thousands of Honduran migrants rush across the border toward Mexico, in Tecun Uman, Guatemala, Friday, October 19.
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Moises Castillo/AP
A Honduran migrant mother and child are surrounded by Mexican Federal Police in riot gear, at the border crossing in Ciudad Hidalgo, Mexico, Friday, October 19.
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A Honduran migrant, part of a caravan trying to reach the United States, storms the checkpoint between Guatemala and Mexico in Tecun Uman, Guatemala, Friday, October 19.
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Honduran migrants heading in a caravan to the United States rush through the Guatemala-Mexico border bridge after tearing down its gate in Ciudad Hidalgo, Mexico, on Friday, October 19.
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Honduran migrants heading in a caravan to the United States crowd the gate of the Guatemala-Mexico border bridge in Ciudad Hidalgo, Mexico, on Friday, October 19.
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Oliver de Ros/AP
Honduran migrants wait at the Mexican border in Tecun Uman, Guatemala, on Friday, October 19. Thousands of migrants traveling in a caravan briefly moved toward the border crossing between the two countries before turning around. Guatemala has closed its border gate and is standing guard with dozens of troops and two armored jeeps.
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Honduran migrants leave Guatemala City, Guatemala, at sunrise on Thursday, October 18, 2018, as they make their way north toward the United States. Many of the more than 2,000 Hondurans in a migrant caravan trying to wend its way to the United States left spontaneously with little more than the clothes on their backs and what they could quickly throw into backpacks.
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Migrants display the flag of Honduras while on a caravan of migrants en route to the Mexican border on Thursday in Guatemala City. The caravan of thousands of Central Americans, most from Honduras, hopes to eventually reach the United States. President Donald Trump has threatened to cancel the recent trade deal with Mexico and withhold aid to Central American countries if the caravan isn't stopped before reaching the United States.
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A Honduran migrant, part of a caravan trying to reach the United States, pushes a stroller with a boy during a new leg of their travel in Guatemala City on Thursday.
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Honduran migrants in the caravan are pictured inside a truck on Thursday.
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Honduran migrants hike in the forest after crossing the Lempa River, on the border between Honduras and Guatemala, to join the caravan on Thursday.
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Moises Castillo/AP
Honduran migrants climb into the bed of a truck in Zacapa, Guatemala, on Wednesday, October 17, 2018.
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A Honduran migrant, part of the caravan, rests on a street as he looks through his mobile phone in Guatemala City on Wednesday.
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A child lies on the ground to rest as Honduran migrants take part in a caravan to the United States in Teculutan, Guatemala, on Wednesday.
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Honduran migrants heading to the United States rest at a gymnasium of a Catholic church in Chiquimula, Guatemala, on Tuesday, October 16, 2018. The caravan set out October 13 from the impoverished, violence-plagued country.
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Honduran migrants pray at an improvised shelter in Chiquimula, Guatemala, on Tuesday.
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Families in the caravan rest for the night in a community gym on Tuesday in Chiquimula, Guatemala. The caravan is the second of its size in 2018.
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Honduran migrants move north on Tuesday near Quezaltepeque, Guatemala.
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Moises Castillo/AP
Honduran migrants holds up their national ID cards as Guatemalan police block them and their caravan after the group crossed the Honduras-Guatemala border in Esquipulas, Guatemala, on Monday, October 15, 2018. Police stopped the migrants for several hours but the travelers refused to return to the border and were eventually allowed to pass.
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The caravan moves north after crossing the border from Honduras into Guatemala on Monday.
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The caravan pauses at a Guatemalan police checkpoint after crossing the border from Honduras on Monday.
They plan to cross Mexico’s border in the coming days, then continue north to the United States.
Already some migrants from the caravan have begun to arrive, seeking refuge, Mexico’s foreign ministry said in a statement Thursday night. And growing numbers of migrants have reached the Guatemalan city of Tecun Uman, across the winding Suchiate River from Mexico.
A bridge over the river marks an official crossing point.
Migrants have been known to cross the river on rafts for years – sometimes encountering authorities along the way, sometimes meeting little resistance as they slipped into Mexico and continued their journey north.
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John Moore/Getty Images
This file photo from August 9, 2018, shows an area where people cross the Suchiate River from Guatemala into Mexico. The illegal crossing point is located just under the international bridge connecting the two countries, circumventing immigration and customs checkpoints.
In recent days Mexican authorities have made a point of showing they were stepping up security near the country’s southern border. Mexican Federal Police released a video of officers arriving in the border state of Chiapas, some toting riot gear.
Mexico’s government also released a statement outlining how it planned to respond:
• Anyone with a valid visa will be able to enter and move freely.
• Anyone who wants to be recognized as a refugee or as a beneficiary of “complementary protection measures” must do so individually. Those who do so will be held “at a migratory station” for up to 45 business days.
• Anyone who enters “in an irregular manner” will be “rescued and subject to an administrative procedure and, where appropriate, will be returned to their country of origin in a safe and orderly manner.”
Mexican authorities have also said they’re asking for help from the United Nations High Commissioner for Refugees to process migrants seeking refugee status at the country’s southern border.
This appears to be a shift from previous policies, in which humanitarian or transit visas were issued, and migrants were given the option of continuing their journey north if they didn’t want to seek asylum in Mexico.