The Reds took the lead at the Amex Stadium through Diogo Jota after an hour of action but were made to settle for a point when Pascal Gross netted a 93rd-minute penalty.
Brighton missed a spot-kick earlier on in the contest as their visitors also had two goals chalked off for offside.
LFCTV GO subscribers can take a look at highlights from Saturday's action by pressing play on the video above.
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