Team Logo. The Durham Bulls are a team in the International League and formerly the Carolina League. They are the top affiliate of the Tampa Bay Rays. They were made famous by the 1988 movie, "Bull Durham". Retrieved from "https://prosportsteams.fandom.com/wiki/Durham_Bulls?oldid=7230" Categories: International League teams Former CarL Teams Teams in North Carolina Add category Cancel Save Community content is available under CC-BY-SA unless otherwise noted.