The officials said that one of the advisers picked up on the calls was Paul Manafort, who was Mr. Trump’s campaign chairman for several months last year and had worked as a political consultant in Ukraine. The officials declined to identify the other Trump associates on the calls.

The call logs and intercepted communications are part of a larger trove of information that the F.B.I. is sifting through as it investigates the links between Mr. Trump’s associates and the Russian government, as well as the hacking of the D.N.C., according to federal law enforcement officials.