Exceptions to grounds of inadmissibility?

Question

What are they?

Answer 1

Depends on the grounds.  If inadmissible because it is hearsay, that's one set of exceptions.  If it's inadmissible due to illegal search and seizure, that's another set.

There's a whole lot more.  That's why people go to law school.

EDIT - and if you are talking about inadmissable people instead of inadmissable evidence, that's something else again.

What are you talking about?

Answer 2

There are two exceptions to this rule.  First, the ground of inadmissibility does not apply to officials of a foreign government simply because of statements they may have made.  In these cases, the person is admissible only if their admission would create a “clear negative foreign policy impact”.  Second, a person cannot be deemed inadmissible because of past statements that would be legal in the US unless their entry would compromise competing US foreign policy interests.