The Latest: Asylum seekers denied US entry for 2nd day

Central Americans who travel with a caravan of migrants embrace in Tijuana, Mexico, before crossing the border and request asylum in the United States... Central Americans who travel with a caravan of migrants embrace in Tijuana, Mexico, before crossing the border and request asylum in the United States, Sunday, April 29, 2018. A group of Central Americans who journeyed in a caravan to the U.S. border resolved to turn themselves in and ask for asylum Sunday in a direct challenge to the Trump administration - only to have U.S. immigration officials announce that the San Diego crossing was already at capacity. (AP Photo/Hans-Maximo Musielik)

Members of a Central American family traveling with a caravan of migrants prepare to cross the border and apply for asylum in the United States, in Ti... Members of a Central American family traveling with a caravan of migrants prepare to cross the border and apply for asylum in the United States, in Tijuana, Mexico, Sunday, April 29, 2018. A group of Central Americans who journeyed in a caravan to the U.S. border resolved to turn themselves in and ask for asylum Sunday in a direct challenge to the Trump administration - only to have U.S. immigration officials announce that the San Diego crossing was already at capacity. (AP Photo/Hans-Maximo Musielik)

Central Americans who travel with a caravan of migrants they walk towards the border before crossing the border and request asylum in the United State... Central Americans who travel with a caravan of migrants they walk towards the border before crossing the border and request asylum in the United States, in Tijuana, Mexico, Sunday, April 29, 2018. A group of Central Americans who journeyed in a caravan to the U.S. border resolved to turn themselves in and ask for asylum Sunday in a direct challenge to the Trump administration - only to have U.S. immigration officials announce that the San Diego crossing was already at capacity. (AP Photo/Hans-Maximo Musielik)

Central Americans who travel with a caravan of migrants embrace in Tijuana, Mexico, before crossing the border and request asylum in the United States... Central Americans who travel with a caravan of migrants embrace in Tijuana, Mexico, before crossing the border and request asylum in the United States, Sunday, April 29, 2018. U.S. immigration lawyers are telling Central Americans in a caravan of asylum-seekers that traveled through Mexico to the border with San Diego that they face possible separation from their children and detention for many months. They say they want to prepare them for the worst possible outcome. (AP Photo/Hans-Maximo Musielik)

Central Americans who travel with a caravan of migrants embrace in Tijuana, Mexico, before crossing the border and request asylum in the United States... Central Americans who travel with a caravan of migrants embrace in Tijuana, Mexico, before crossing the border and request asylum in the United States, Sunday, April 29, 2018. A group of Central Americans who journeyed in a caravan to the U.S. border resolved to turn themselves in and ask for asylum Sunday in a direct challenge to the Trump administration - only to have U.S. immigration officials announce that the San Diego crossing was already at capacity. (AP Photo/Hans-Maximo Musielik)

Members of a Central American family traveling with a caravan of migrants prepare to cross the border and apply for asylum in the United States, in Ti... Members of a Central American family traveling with a caravan of migrants prepare to cross the border and apply for asylum in the United States, in Tijuana, Mexico, Sunday, April 29, 2018. A group of Central Americans who journeyed in a caravan to the U.S. border resolved to turn themselves in and ask for asylum Sunday in a direct challenge to the Trump administration - only to have U.S. immigration officials announce that the San Diego crossing was already at capacity. (AP Photo/Hans-Maximo Musielik)

A Central American child who is traveling with a caravan of migrants sleeps at a shelter in Tijuana, Mexico, Sunday, April 29, 2018. U.S. immigration ... A Central American child who is traveling with a caravan of migrants sleeps at a shelter in Tijuana, Mexico, Sunday, April 29, 2018. U.S. immigration lawyers are telling Central Americans in a caravan of asylum-seekers that traveled through Mexico to the border with San Diego that they face possible separation from their children and detention for many months. They say they want to prepare them for the worst possible outcome. (AP Photo/Hans-Maximo Musielik)

A Central American child who is traveling with a caravan of migrants, peers from a bus carrying the group to the border wall for a gathering of migran... A Central American child who is traveling with a caravan of migrants, peers from a bus carrying the group to the border wall for a gathering of migrants living on both sides of the border, in Tijuana, Mexico, Sunday, April 29, 2018. The sign reads in Spanish: We're all brother countries from the Americas. Free transit. Stop the deportations." (AP Photo/Hans-Maximo Musielik)

Central American children who are traveling with a caravan of migrants, look at the border wall from a bus carrying the group to a gathering of migran... Central American children who are traveling with a caravan of migrants, look at the border wall from a bus carrying the group to a gathering of migrants living on both sides of the border, in Tijuana, Mexico, Sunday, April 29, 2018. U.S. immigration lawyers are telling Central Americans in a caravan of asylum-seekers that traveled through Mexico to the border with San Diego that they face possible separation from their children and detention for many months. They say they want to prepare them for the worst possible outcome. (AP Photo/Hans-Maximo Musielik)

A member of the Central American migrant caravan, holding a child, looks through the border wall toward a group of people gathered on the U.S. side, n... A member of the Central American migrant caravan, holding a child, looks through the border wall toward a group of people gathered on the U.S. side, near the beach where the border wall ends in the ocean, in Tijuana, Mexico, Sunday, April 29, 2018. U.S. immigration lawyers are telling Central Americans in a caravan of asylum-seekers that traveled through Mexico to the border with San Diego that they face possible separation from their children and detention for many months. They say they want to prepare them for the worst possible outcome. (AP Photo/Hans-Maximo Musielik)

A Central American child who is traveling with a caravan of migrants, peers at the border wall from a bus carrying the group to a gathering of migrant... A Central American child who is traveling with a caravan of migrants, peers at the border wall from a bus carrying the group to a gathering of migrants living on both sides of the border, in Tijuana, Mexico, Sunday, April 29, 2018. U.S. immigration lawyers are telling Central Americans in a caravan of asylum-seekers that traveled through Mexico to the border with San Diego that they face possible separation from their children and detention for many months. They say they want to prepare them for the worst possible outcome. (AP Photo/Hans-Maximo Musielik)

Central American migrants traveling with a caravan sit momentarily on top of the border wall during a gathering of migrants living on both sides of th... Central American migrants traveling with a caravan sit momentarily on top of the border wall during a gathering of migrants living on both sides of the border, on the beach where the border wall ends in the ocean, with Tijuana, Mexico at left and San Diego at right, Sunday, April 29, 2018. U.S. immigration lawyers are telling Central Americans in a caravan of asylum-seekers that traveled through Mexico to the border with San Diego that they face possible separation from their children and detention for many months. They say they want to prepare them for the worst possible outcome. (AP Photo/Hans-Maximo Musielik)

Central American migrants traveling with a caravan gather at the border wall, some sitting on top of it, look toward the U.S. from Mexico during a gat... Central American migrants traveling with a caravan gather at the border wall, some sitting on top of it, look toward the U.S. from Mexico during a gathering of migrants living on both sides of the border, on the beach where the border wall ends in the ocean, in Tijuana, Mexico, Sunday, April 29, 2018. U.S. immigration lawyers are telling Central Americans in a caravan of asylum-seekers that traveled through Mexico to the border with San Diego that they face possible separation from their children and detention for many months. They say they want to prepare them for the worst possible outcome. (AP Photo/Hans-Maximo Musielik)

Seen through the border wall, people stand on the U.S. side during a gathering of migrants living on both sides of the border, on the beach where the ... Seen through the border wall, people stand on the U.S. side during a gathering of migrants living on both sides of the border, on the beach where the border wall ends in the ocean, in Tijuana, Mexico, Sunday, April 29, 2018. U.S. immigration lawyers are telling Central Americans in a caravan of asylum-seekers that traveled through Mexico to the border with San Diego that they face possible separation from their children and detention for many months. They say they want to prepare them for the worst possible outcome. (AP Photo/Hans-Maximo Musielik)

A member of the Central American migrant caravan, holding a child, looks through the border wall toward a group of people gathered on the U.S. side, a... A member of the Central American migrant caravan, holding a child, looks through the border wall toward a group of people gathered on the U.S. side, as he stands on the beach where the border wall ends in the ocean, in Tijuana, Mexico, Sunday, April 29, 2018. U.S. immigration lawyers are telling Central Americans in a caravan of asylum-seekers that traveled through Mexico to the border with San Diego that they face possible separation from their children and detention for many months. They say they want to prepare them for the worst possible outcome. (AP Photo/Hans-Maximo Musielik)