The only question I have (or had) about bringing FBI records from the states was that the date on the FBI record request had to be greater than your arrival date. I had my fingerprints taken here, sent them to the FBI, received my record request but then had to return back to the states for a weekend and had to do everything over again.
Hypothetically, if you receive the FBI record request stating, for instance, that you have no record through 9/1/2009 and then arrive here from the States on 10/1/2009, you could have been arrested in the meantime and it wouldn't be reflected. That being said, if someone has brought FBI records from the States and submitted successfully here, let TX_Traveler know.