[O6ret]

That’s true. But here’s one way it might work, there are others:
1. The self-identified illegal immigrant or Visa overstay reports his/her status to Trump’s DHS.
2. If the DHS background check finds that the party does not meet its criteria they are deported.
3. However, if the he DHS finds that the party has something to offer the United States in terms of skills, education, work history, etc., they will be directed to return to their country of origin via the nearest embassy or consulate.
4. Once inside the embassy or consulate (in DC or a major immigrant population center, in a hotel or rented office space) they are technically on their country’s sovereign territory.
5. The United States will establish temporary consulates too, right next door to the foreign embassy/consulate or in the next hotel room or in a trailer parked at the curb. The immigrant who has previously been cleared by DHS then requests entry.

[kabar]

You say you know nothing about immigration and your statements prove it. They are still on the territory of the US even if they go into their country's embassy. You are confusing diplomatic immunity with sovereignty.

5. The United States will establish temporary consulates too, right next door to the foreign embassy/consulate or in the next hotel room or in a trailer parked at the curb. The immigrant who has previously been cleared by DHS then requests entry.

Pure sophistry.