Javier Hernandez’s strike two minutes from time in the quarter-final second leg at the Bernabeu meant a 1-0 aggregate defeat, ending their hopes of a second successive appearance in the final of Europe’s elite club competition.
Simeone’s side were reduced to 10 men when Arda Turan earned a second booking after 76 minutes and Atletico slipped to their first defeat by their city rivals in eight meetings since last season’s defeat in the showpiece game in Lisbon.
“I leave feeling proud of my team,” Simeone said. “Again we competed superbly in a competition as tough as the Champions League and to be among the eight best teams in Europe is not easy.
“I was always taught that in the game you have to compete and if you give your all you will go home feeling content.
“I don’t have any negative feelings. There are coaches who would be envious to have these players.”
Simeone refused to criticise the referee for Arda’s dismissal, though he did say the game was going according to plan until the Turkey playmaker was punished for a foot-up challenge on Sergio Ramos.
“There is no point in expressing an opinion about Arda’s sending-off because it won’t change the result,” he said.