Enzo Maresca's side will rue plenty of missed chances to win the game, with Nicolas Jackson and full Premier League debutant Josh Acheampong guilty of misses.
The draw moves Palace six points clear of the bottom three in 15th, while Chelsea stay fourth, and their title hopes are fast fading away.
Jadon Sancho has four assists in the Premier League this season following his brilliant run and pass for Cole Palmer's opener today.
This may not be a title-winning campaign for the Blues, but getting Sancho firing would be a win of sorts.
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