Currently there are no direct flights Sofia to Bermuda.

Flights Sofia to Bermuda with 1 stopover:

Flights via London Heathrow (LHR), London, United Kingdom
From Sofia (SOF), Bulgaria with British Airways Transfer at London Heathrow (LHR) Then on to Bermuda Nas (NWU), Bermuda [U.S. Naval Air Station], Bermuda with British Airways