The game provided very few chances for either team to score, with the Seagulls failing to capitalise from the best chance of the game from the penalty spot.
James Justin was adjudged to have brought down Aaron Connolly in the box with 14 minutes played, only for Kasper Schmeichel to save Neal Maupay's low drive to keep the score level.
The hosts grew into the game later in the game, but failed to truly test Matty Ryan in the Brighton goal, with missed chances from the likes of James Maddison and Jamie Vardy, who still finds himself on 99 Premier League goals.
With two draws in a row since the restart, the Foxes are at risk of being dragged into the fight for the European places.
'There wasn't a lot of good play'
Speaking to Leicestershire Live post match, Brendan Rodgers gave his thoughts on the game.
He said: "The first half wasn’t the best. There wasn't a lot of good play. Kasper made a great save from the penalty. Second half we were much better, our movement and our pressing. We were able to sustain the attacks. It just felt like the goal was coming. We had a desire to win the game and we kept going right until the very end. We just have to get that quality in our game sooner rather than later."
He added: "We have to be better than what we’ve shown. We sit where we are on merit. You’re never going to get through the season being excellent. We’ve had two tough games since we came back."
'He’s one of the best in the league'
Speaking further , Rodgers was full of praise for Leicester's number one, whose penalty save in the first half ultimately gained his side a point.
"He’s invaluable. He’s one of the best in the league. He studies the players’ penalties. He’s been very good in the two games back."
Turning his attention to the squad selection, Rodgers stated: "It was Saturday/Tuesday for players just coming back. We wanted extra support in midfield with Papy Mendy, who has good legs. Dimi was very good at the weekend, and we wanted to put a striker in too. The two systems cancelled each other out, without scoring.”