LULAC is calling on President Barack Obama to create what they call "real" immigration reform. Representatives of the group say the U.S. should create a bilateral commission to settle immigration issues between the two countries.
Congresswoman Loretta Sanchez spoke at Saturday's news conference.
"Because we do not want to return to those dark days here in California and no one across our nation should be subjected to that type of a law," said Sanchez.
LULAC is behind one of the major initiatives to boycott Arizona over that state's controversial immigration measure.