Palace were desperately unlucky to concede early on when a Gary Cahill hamstring issue prevented the centre-back from denying Willian's burst forward.
But the Eagles fought back, and opened their account through a fine Wilfried Zaha strike from 30-yards and then netted again via Christian Benteke.
Frustratingly, Chelsea were able to hold on - even when Scott Dann thwacked the post in the dying seconds - and the Eagles were left to muse on how they ended the night with nothing to their name.
But it was certainly a game worth watching. Or, for some, re-watching. You can do so now for free via Palace TV.