Cuban Family Reunification Act This bill directs the Department of State to restart processing applications under the Cuban Family Reunification Parole Program. (The program, which was suspended in 2017, allowed eligible U.S. citizens and lawful permanent residents to apply for parole for family members in Cuba, who could then enter the United States while waiting for immigrant visas.) The State Department shall prioritize applications filed before this bill's enactment and ensure that such applications are processed within 60 days of the enactment date.