They have basis in the juristiction, ergo they can sue.
Certain the offense occured in the juristiction - but do they have any right to the legal recourse in that juristiction?
Do you, as a US citizen have the legal recourse (right?) to sue someone in say Mexico for an action committed in that country? Usually the point is moot, as unless that person is in the country the case never comes before a trial anyway. (And the exceptions are usually so extreme as to warrent approval of the case purely for political reasons.)
But here we have individuals who are here illegally. Do they have the right to bring charges in a US Civil court that they were mistreated?
(Ignoring, also, their own cupability to the crime is icing on the cake)