Technological Resource to Assist Criminal Enforcement (TRACE) Act - Amends the federal criminal code to require the Attorney General to: (1) revoke the license of an importer who imports or a manufacturer who manufactures a firearm that is not microstamped (i.e., the make, model, and serial number etched onto an internal surface of the firearm); (2) conduct ballistics testing of any firearm in federal custody believed to be involved in a federal or state crime and establish an electronic database with the results of such testing; (3) report to the Judiciary Committees of Congress on the use of ballistics records in federal and state criminal investigations, arrests, indictments, and prosecutions.