Sevilla had been on the verge of victory leading 2-1 deep into added time before Sergio Ramos equalised for Real Madrid in the 93rd minute with the last kick of normal time during the match on Tuesday, reports Xinhua.
Spanish Carvajal, 24, went on a run from the halfway line to score in the 119th minute to win the game for Real Madrid.
"The essence of Real Madrid is that we never give up. A goal after the 90th minute and another one at the end of the added period made us champions," Carvajal said.
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