However, the in-form Jamie Vardy took his season tally to 15 when he netted from the penalty spot ten minutes after the restart.
The Foxes now regain second-spot on the table behind Liverpool.
And speaking after the game, Leicester manager Brendan Rodgers was pleased with the patience shown by his side.
"The fans have been brilliant since I first came into here. They have taken on board the style we are trying to play. When you face teams that sit in deep you have to have that patience.
"Jamie Vardy is absolutely fantastic. I thought he should have a penalty in the first half. I don't know why that was overturned. In the current rules that is normally given but it wasn't. We gathered our composure and continued to work away to get the goal.
"Ben Foster made some great saves tonight. We were unfortunate not to score more. We had to defend well, even if they did not have a shot on target until late on. We managed the game very well.
"A real team effort tonight and to get seven wins on the spin in the Premier League is a great achievement. The team is developing and are proving they have a winning mentality and mindset.
"We will do our best [to stay in the top two], we fight and work and see where it takes us."