Leicester stayed tight at the back and although Atletico dominated possession, they could not create any more clear-cut chances in the first half.
"We are working with UEFA and the local authorities to establish the full facts of what took place and the reasons for the police response", a Leicester spokesman said on Thursday.
Leicester could be down to the bare bones for the second leg with Yohan Benalouane, who played in Madrid, and Marcin Wasilewski the only recognised central defenders available. It's not one player or two - it's all the team. "But we know we still have a challenge ahead against a very good team". "We know we are strong at home and I am sure we can cause them problems".
Leicester defended really well and limited Atletico Madrid to shots from distance.
"Today was the day that the game was and we had to play it". But Griezmann appeared to be outside of the box when he was touched by Albrighton. "This time, multiply that by the possibility of a semi-final place in the Champions League".
Police had to detain several Leicester fans following trouble in Madrid.
They had looked more comfortable but were caught by a lightning break when Griezmann burst clear on the left.
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Spanish police detained bottle-throwing Leicester fans, with at least three people taken into custody after a brief confrontation on Wednesday at Madrid's Plaza Mayor, where supporters of the English club gathered before heading to the Vicente Calderon.
The Foxes, though, remained resolute and still have a chance to keep their European dream alive and clinch an improbable semifinal spot when they meet again on Tuesday, April 18 for the second leg.
'We could see what he was capable of in the first-half, ' King, 28, told BT Sport after the 1-0 defeat in Spain.
Some away fans did buy tickets in the home ends of the Vicente Calderon while Atletico also had a neutral zone at the stadium.
Griezmann had already been decisive when he scored a late equalizer against Madrid in the teams' 1-1 draw in the Spanish league over the weekend at the Santiago Bernabeu Stadium. It has conceded only two goals in its last eight games.
There is no love lost between Real and Atletico, so it is likely that the 43-year-old Carlos would have offered Simpson some good advice.
Leicester eliminated Spanish club Sevilla in this season's Round of 16.
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