The Seagulls were awarded the spot-kick on 12 minutes as Aaron Connolly was taken down by James Justin but he failed to convert, spurning the chance to make it consecutive wins for Graham Potter's men following the restart.
Story of the Match
Quick start to the first-half
It's no surprise that both teams made changes considering the current climate, with the Brendan Rodgers swapping out three after drawing to Watford at the weekend, and two of the four Brighton changes being debut matches for youngsters Tariq Lamptey and Alexis Mac Allister.
Both teams utilised a young squad and the high energy of the players was shown from the opening whistle with everyone coming out fighting on a hot Tuesday evening. The tempo was maintained well through the first half from both sides but neither were able to break the deadlock.
Leicester had to stay sharp in defence in the opening ten minutes with Brighton pressing very high up the pitch and keeping the possession in the Foxes' half quite comfortably.
Maupay spurns chance from the spot
Despite getting into good positions and having a selection of set pieces, Brighton still seemed to lack that ruthlessness in front of goal that they need to stop them from being a bottom half of the table team. It looked like they would finally open the scoring in the 12th minute as they were awarded a penalty.
Justin made a clumsy tackle on Connolly after a fairly long deliberation by VAR, the kick was confirmed. Unsurprisingly, Maupay stepped up to take the kick but lacked any pace or power, with Kasper Schmeichel guessing correctly.
Another great chance came just 15 minutes later with a good effort from Aaron Connolly which was deflected over the post by centre half Caglar Söyüncü.
Leicester didn't have as many chances as they probably hoped and top goal scorer Jamie Vardy had just one touch in the first half an hour of the match. In spite of Brighton having more attempts, Leicester did look threatening when the goal was in near sight.
Leicester looked much stronger coming out after the break, holding the possession well and making more chances. James Maddison had a number of shots from long range but all flying over the bar.
After making three changes, with Rodgers bringing on Harvey Barnes, Youri Tielemans and Ayoze Perez, the Foxes had a second burst of energy which tested the Brighton defenders the most all game. Into the last quarter of the match Brighton started to make some sloppy challenges and looked like they wouldn't have the energy to hold on.
It also potentially looked as though Leicester were going to be awarded their own penalty as Vardy's flick on hit Lewis Dunk on the arm but the referee and VAR were unmoved as each side claimed a point.
Foxes in a rut
Leicester are now just four points above fourth place Chelsea FC and nine points ahead of Manchester United so they will want to pick up some speed again to secure a Champions League spot. However, performances like today will not do them any favours.
Solid point on the road
Brighton have a difficult run of games ahead with consecutive ties against top two teams Liverpool FC and Manchester City so Graham Potter will be happy with a point against third place runners but need to be more clinical in front of goal to keep that six point gap above the relegation zone.