Craig Shakespeare targets Champions League return
Saul Niguez's first-half header gave the visitors a critical away goal, meaning Leicester needed three goals without reply for their European dream to continue.
Jamie Vardy gave Leicester hope with 30 minutes to go
Jamie Vardy's second-half equaliser gave Leicester a glimmer of hope and sparked 30 minutes of dominance for the hosts, but they could not convert their chances.
The Foxes, 12th in the Premier League, will not play in Europe next season, but Shakespeare hopes this year's run will inspire his players.
"I hope the benefit is they want some more of it. They are very disappointed but can be proud of what they've achieved," Shakespeare said.
"As a football club we can be proud of how we've conducted ourselves.
Saul Niguez gave Atletico Madrid a crucial away goal
"All players want to play at the highest level and the Champions League is the highest level but we have to get back to winning ways in the Premier League now.
"The feeling is one of disappointment to go out but I'm immensely proud of the performance. We got the goal and couldn't quite get the breaks which was needed to get more."
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