Fulham is in the middle of a 10-game winless streak. Dempsey scored in the 11th minute but the strike was called back because committed by teammate Steve Elliot.
Eddie Lewis went the full 90 as Derby, the EPL's last-place team, tied second-tier Sheffield Wednesday, 2-2. Benny Feilhaber stayed on the bench for Derby.
With goalkeeper Marcus Hahnemann, resting Reading tied fellow EPL club Tottenham, 2-2. Convey was head-butted during an altercation with Tom Huddlestone, who was red-carded while the American received a yellow.
Jonathan Spector played the second half for EPL club West Ham as it tied league rival Manchester City.
Jay DeMerit went the full 90 for second-tier Watford in its 2-0 win over league rival Crystal Palace.
Zak Whitbread played 90 minutes for Millwall in a scoreless tie with fellow third-tier club Walsall.