The Seagulls reached the semi-finals of the competition two seasons ago and were agonisingly beaten on penalties by Manchester United, ending their hopes of lifting the FA Cup trophy for the first time.
They have a real chance to do so this season, though, having already knocked out Chelsea and Newcastle.
Nottingham Forest will have other ideas, and they come into this last-eight clash full of confidence after a superb season to date, which has included a 7-0 win over Brighton last month.
Nuno Espirito Santo’s sit third in the Premier League table with nine matches to go, and have a six-point cushion over Manchester City in fifth.
That has raised the very realistic prospect of Champions League football at the City Ground next season and they will be eyeing a trophy to go with it.
Forest are one of only four clubs left in the competition to have won the FA Cup, but it is now 66 years since they last did so.
It has been a battling run to the quarter-finals for Forest, who have required penalties to get past Exeter and Ipswich.
How to watch Brighton vs Nottingham Forest
TV channel: In the UK, the game will be televised live on BBC One. Kick-off is at 5:15pm GMT.
Live stream: Fans can catch the contest live online via BBC iPlayer and the BBC Sport website.
Live blog: You can follow all the action on matchday via Standard Sport’s live blog.
