The clash had been a textbook Palace display of competent defending until the 90th-minute, when the Eagles conceded to Alexis Mac Allister's late equaliser.
The home side initially took the lead through Wilfried Zaha's 19th-minute penalty, which he slotted home cooly after Tariq Lamptey felled Michy Batshuayi. Later, Batshuayi found the back of the net only to have his effort ruled out for a marginal offside.
Elsewhere, the likes of Jairo Riedewald, Gary Cahill and Cheikhou Kouyate put in adept shifts going backwards.
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