Beşiktaş maintained their unbeaten home record against Premier League opposition this season following the Liverpool victory at the Atatürk Olympic stadium.
The Black Eagles lost the first leg against Liverpool 1-0 at Anfield but levelled the scores on aggregate in Istanbul to force extra time and a penalty shoot out.
Beşiktaş beat the Reds 5-4 on penalties to progress to the Europa League Last 16.
Slaven Bilic has led Beşiktaş against four Premier League sides this season.
The Eagles then drew Tottenham in Europa League group stages and beat Spurs 1-0 in Istanbul.
The Turkish giants are undefeated against English opposition in European competition this season and kept a clean sheet in all three games.
Beşiktaş take on Belgium side Club Brugge next in the Europa League Last 16.
The Eagles are currently second in the Süper Lig, one point behind league leaders Galatasaray.