Boasberg is determining whether people deported to El Salvador should be returned and, if so, what role the U.S. has in facilitating this.

The words of President Donald Trump and members of his administration undermined the government's contention during a court hearing on Wednesday that the men deported from the country under the Alien Enemies Act and delivered to El Salvador were not in the constructive custody of the United States.

A lawsuit filed with the Inter-American Commission of Human Rights seeks the release of Venezuelan migrants deported from the United States and jailed in a notorious Salvadoran prison.