Marcus Bent looked to have decided the outcome in Wigan´s favour with a 69th-minute volley but Dempsey earned Fulham a vital point with a low drive.
The draw ensured that Wigan remained second from bottom - just one place behind the Londoners.
Copyright (c) PA Sport 2007, All Rights Reserved.
Do YOU want to write for GiveMeSport? Get started today by signing-up and submitting an article HERE: http://gms.to/writeforgms