United made the breakthrough inside seven minutes after unmarked Anthony Martial steered the opener through Kasper Schmeichel’s legs to put the hosts 1-0 up.
However, Leicester captain Wes Morgan levelled before half-time with a header to offer the Foxes hope of a victory that would clinch their first-ever Premier League title.
Danny Drinkwater was sent off in the final minutes of normal time before United captain Wayne Rooney came close in the closing minutes of the game.
Former Liverpool captain Souness felt Leicester’s performance at Old Trafford typified their Premier League campaign.
“I think it was a typical Leicester performance. They’ve ended up having 30 per cent of the ball but watching the game it didn’t feel like that,” Souness told Sky Sports. “They’ve come to one of the world’s greatest stadiums and they weren’t intimidated.
“They went a goal behind and showed a lot of character and togetherness.”
Souness added: “That 90 minutes typifies what their season is about. When adversity comes, they deal with it. They get through that barrier and somehow they come up with a way of getting a result.”
Tottenham will make the trip to defending Premier League champions Chelsea on Monday night as Spurs look to close the gap on the Foxes back to five points with two games to play.
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