Neither team had much to play for heading into the climax of the campaign after Fulham's relegation from the Premier League was confirmed with a 4-1 loss to Stoke City last weekend.
But they provided terrific entertainment in a frenetic contest in the last top-flight game at Craven Cottage for at least a season.
Dwight Gayle - the hero of Palace's remarkable 3-3 draw with Liverpool on Monday that had huge ramifications in the Premier League title race - looked to have given his side the points with a double, which was separated by Cauley Woodrow's first goal for Fulham.
Fulham created the first real chance after seven minutes, Alexander Kacaniklic's low drive drawing a near-post save from Palace goalkeeper Wayne Hennessey.
However, Stockdale was beaten just a few moments later when Gayle flicked home from Joel Ward's low cross into the area.
The visitors continued to dictate matters, and would have doubled their advantage had Stockdale not pulled off another strong stop to keep out Scott Dann's header from Tom Ince's free-kick.
Fulham did threaten an equaliser in first-half injury time, but Fernando Amorebieta's header was kept out by Hennessey at his right-hand post.
Amorebieta was heavily involved again as Fulham went agonisingly close to levelling early in the second half, the Venezuela defender's header back across goal nodded against the post by Hugo Rodallega.
And Jedinak's absence was felt two minutes later as Woodrow netted the equaliser with an excellent curling finish beyond Hennessey after collecting a clever reverse pass from Rodallega.
Tony Pulis' men responded well, though, and appeared to have claimed the points late on as Gayle struck with a terrific low free-kick into the bottom corner from some way out.
