For Derby, American Eddie Lewis played the full 90 while Benny Feilhaber stayed on the bench.
For Fulham, goalkeeper Kasey Keller and forward Brian McBride started. Eddie Johnson was an 81st minute sub while Carlos Bocanegra and Clint Dempsey stayed on the bench.
Derby's Emanuel Villa opened the scoring in the 10th minute and hit the 80th minute equalizer.
Fulham, winless in 33 road games, scored on a deflected Hameur Bouazza shot in the 77th minute to take a temporary lead after Diomansy Kamara's 24th-minute equalizer.