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.

Even as the Administration refuses to reveal the names of those it has deported under the Alien Enemies Act, a network of lawyers and advocates is fighting to keep their cases alive.

U.S. President Donald Trump on Wednesday said he has not spoken to El Salvador's president about returning a man mistakenly deported from Maryland, and the top U.S. diplomat refused to comment on reported contacts with El Salvadoran authorities.