Timely Repatriation Act This bill directs the Department of Homeland Security (DHS) to publish a report every six months listing: (1) countries that have refused or unreasonably delayed repatriation of an alien who is a national of that country (the report must include the total number of such aliens) and countries that have an excessive repatriation failure rate, and (2) each country that was included in both the report preceding the current report and the current report (DHS may exclude a country if the total number of nonrepatriations outstanding is less than 10 for the preceding three-year period). The Department of State, with respect to a listed country: (1) may not issue visas to attendants, servants, and personal employees of such country's officials and employees who receive nonimmigrant status; and (2) shall reduce the number of visas available for such country's diplomats and officials/employees by 10% for each six months that a country is listed.