Global Aircraft Maintenance Safety Improvement Act This bill addresses safety standards related to foreign aircraft repair stations. Among other things, the bill requires that all foreign aircraft repair stations be subject to at least one unannounced safety inspection each year; requires air carriers to submit annual reports to the Federal Aviation Administration (FAA) with respect to heavy maintenance work on aircraft (including on-wing aircraft engines) performed outside the United States; sets forth minimum qualifications for mechanics and others working on U.S. registered aircraft at foreign repair stations; directs the FAA to convene a foreign repair station working group with other civil aviation authorities to conduct a review of the certification and oversight of the stations and to identify any future enhancements to strengthen oversight of such stations; and prohibits FAA officials from traveling internationally if previously mandated final rules on drug and alcohol testing and a threat assessment of employees at foreign repair stations are not implemented, with specified exceptions.