It is the latest effort by the administration to tighten immigration, President Donald Trump's signature issue, and is aimed at restricting the movement of asylum seekers in the country and deterring more migrants from crossing the border.
Civil rights activists and lawyers say US officials subjected thousands of people to living in inadequate living conditions.
Human rights groups, like SeaWatch, have long complained about the conditions migrants have been held in detention centres run by EU-funded Libyan groups.
Lopez Obrador refused to sign the agreement, calling instead for cooperation for economic development.
Trump said ICE would focus mainly on people with convictions, including gang members, but also others.
President has announced widespread raids against unauthorised immigrants with up to 2,000 people across 10 cities identified for arrest.
Twenty-five-year-old Salvadorian Oscar Martinez Ramirez fled El Salvador with his 21-year-old wife and their daughter and decided to make the risky crossing from Mexico to the US on Sunday afternoon, according to a Mexican court report.
Mexican President Andres Manuel Lopez Obrador says forces deployed at the US border were not there to detain migrants who try to cross the border.
The Turkish coast guard rescued 31 migrants whose boat sank in the Aegean Sea.
Photographs of a document that US President Donald Trump waved in front of reporters revealed that Mexico appeared to pledge to enact or enforce certain domestic laws if Washington is not satisfied with the results of its first promised efforts.
The intrusive visa policies under the Trump administration are not only a violation of people's privacy but can backfire against the US in its quest to attract the world's best talent.
A tax on all Mexican goods , which would increase every month up to 25 percent under Trump's plan, would have had enormous economic implications for both countries.
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