Jesse Marsch's side went ahead in the 56th minute through an ice-cool penalty from Rodrigo which was awarded after Crysencio Summerville was fouled.
Palace, though, equalised 11 minutes later through Jean-Philippe Mateta who was left with a tap-in from a rapid Eagles break from a Whites corner.
Leeds were also hit with a fresh injury blow as the Whites lost summer signing Luis Sinisterra to a hamstring injury.
In a niggly and ill-tempered contest featuring several yellow cards, Adam Forshaw was also withdrawn after just 33 minutes after tweaking his knee.
Graham Smyth, the YEP’s chief football writer, hands out the scores from the Friday contest at the Optus Stadium in Perth.
19. Darko Gyabi (sub)
6 - Couldn't give Leeds much control playing with Greenwood in the middle but passed it nicely on a few occasions. Photo: Paul Kane
20. Mateusz Klich (sub)
5 - One tidy bit of link-up play aside, didn't really get into it. Although Marsch is splitting up the minutes, Klich seems down the pecking order. Photo: Bradley Kanaris
21. Daniel Elder (referee)
6 - Used his yellow card liberally which probably just about kept the game under control. Photo: Daniel Carson