Romania, a country on Europe’s eastern fringe, is perhaps a surprising focus of attention for a new US administration whose foreign policy priorities include ending the war in Ukraine, reshaping the Middle East and expanding American territory. Accustomed to flying under the radar, many in the country have been stunned by the Trump administration’s interest in its politics, which rarely garners international attention. “It’s been unprecedented,” said Oana Popescu-Zamfir, director of the GlobalFocus Center, a think-tank in the capital, Bucharest. She said she cannot recall a time in Romania’s post-Soviet history that its affairs have been so closely scrutinized from...