Conor Gallagher fired the visitors ahead in the second half, before a Neal Maupay cross was deflected in by Joachim Andersen to equalise with only minutes remaining.
Friday’s draw was the fourth 1-1 scoreline in the last six meetings between the two clubs.
The Seagulls remain in the top half of the table, while Palace sit four behinds behind them.
Here are the best of today’s rumours...
1. Suarez and Cavani sold Spurs move to Bentacur
New Spurs signing Rodrigo Bentacur says his international teammates at Uruguay discussed his move to London with him as Luis Suarez said it "would be a great move" and Edinson Cavani said it was a "spectacular league" to play in (Sky Sports)
Photo: Alessandro Sabattini
2. Uncertain future for Wan-Bissaka due to Dalot deal
Manchester United are set to trigger a contract extension for Diogo Dalot following his fine form, leaving £50m England international Aaron Wan-Bissaka's role in the team uncertain (The Star)
Photo: Matthew Peters
3. Atletico "ready to sell" Arsenal target Morata
Atletico Madrid are "ready to sell" former Chelsea striker and reported Arsenal target Alvaro Morata but the Gunners could face competition from Juventus where the Spaniard is currently on loan (Tuttomercato)
Photo: Valerio Pennicino
4. Gbamin could leave Everton on loan
Everton midfielder Jean-Philippe Gbamin could leave on a loan this month to join CSKA Moscow with sides in the Russian Premier League still able to make transfer moves until February 22 (Liverpool Echo)
Photo: Catherine Ivill