MOSCOW — Carter Page, an early foreign policy adviser to Donald J. Trump who was scrutinized by the F.B.I. on suspicion of private communications with senior Russian officials over the summer, was back in Moscow on Thursday.

Mr. Page was closelipped about the purpose of his visit, telling RIA Novosti, a Russian state-run news agency, that he would stay in Moscow until Tuesday and would meet with “business leaders and thought leaders.”

Mr. Page, who founded an investment company in New York called Global Energy Capital, drew attention during the summer for a speech that criticized the United States and other Western nations for a “hypocritical focus on ideas such as democratization, inequality, corruption and regime change” in Russia and in other parts of the former Soviet Union.

He worked as an investment banker in Russia for at least three years in the 2000s, advising on several major transactions involving Russian state companies. Mr. Page’s extensive business links in Russia prompted suggestions that he might be serving Mr. Trump as a back-channel liaison with senior Kremlin officials.