Bissouma 24, was the stand out performer in a fairly non-eventful first half and the midfielder was desperately unlucky to see his spectacular overhead kick flash narrowly over the bar.
It was the one moment of real quality in a first half where Everton, who are without the injured Dominic Calvert-Lewin, were mostly content to sit back and soak up Albion pressure.
Bissouma gathered the ball on the edge of the box and drove into the penalty area. The ball deflected off the defence and sharply back to Bissouma who instinctively and acrobatically connected well with a bicycle kick that just dipped on to the roof of the net.
Brighton's main man in midfield has impressed this season and has been linked with moves to Man United, Arsenal, Liverpool, Monaco and Real Madrid.
Brighton signed him from Lille in 2018 for £15m but his performances have seen figures quoted upwards of £40m for clubs hoping to prise him away.
MOTD presenter and former England striker Gary Lineker is clearly a fan as he tweeted: "What an exceptional footballer is @Yves_Bissouma"
Here's how Brighton, Liverpool and Arsenal fans reacted:
@CarlGreene1997: Replying to @GaryLineker
and @Yves_Bissouma: Bossing this game Fire would absolutely love him at Liverpool regardless of Gini leaving or not
@ahmadmatter1999: Replying to
@GaryLineker and @Yves_Bissouma: Be surprised if he stays at Brighton next season surely would be getting offers from the bigger teams
@Wellington_ODOS Replying to @GaryLineker and @Yves_Bissouma He his better than naby keita
@Oluwagbohunmi14: Replying to @GaryLineker and @Yves_Bissouma Really hope we get him at liverpool
@ifill_james : Replying to @GaryLineker and @Yves_Bissouma Brilliant. Everything he does ....SMOOTH
@BhaFreddie Replying to @GaryLineker and @Yves_Bissouma Another 10mil added on to his price, I appreciate that Gary