The Cottagers snatched a share of the spoils with their third equaliser in the fourth minute of stoppage time.
That late, late strike, coupled with Stoke City's last-gasp winner in their clash with Sheffield Wednesday, means Graeme Jones' side dropped into the bottom three of the Sky Bet Championship.
To see how the Hatters players rated on the day, see below.
13. Lloyd Jones 6
Not at fault for Fulhams second equaliser, but had replaced LuaLua to add some defensively solidity - was barely on the pitch a minute when Aleksander Mitrovic headed in | Getty
4 / 4