Brighton manager Graham Potter told BBC Sport: "It feels sore. Overall our performance - certainly the first half - was good. We were close to getting a second.
"In the second half, Leicester responded and we didn't play as well. Still, we had some opportunities but it felt like a draw might have been the right result.
"There was no problem with the approach and intention of the team. We made a few too many errors against a team going for the Champions League. The goal at the end is a bit of a blow.
"Adam Lallana did some really nice touches, nice combinations. He helped the team, kept us going. He was a positive for us."
Leicester City boss Brendan Rodgers told BBC Sport: "Brighton were better than us in the first half - we were too slow and not aggressive enough. They deservedly went in front.
"They were excellent; they are a good side. You can see why they beat top teams.
"We had to look at things at half-time. We were outstanding in the second half. The players were brilliant.
"It was a change of mindset; we needed to be more aggressive. Once we did that we had more energy on the ball."