Carvajal started in Real Madrid's triumphs in the 2014 UEFA Super Cup over compatriots Sevilla FC, and in that year's FIFA Club World Cup final against Argentina's San Lorenzo de Almagro. In the first leg of the Champions League's semi-finals, on 5 May 2015, he conceded a penalty by fouling Carlos Tevez, with the Juventus F.C. forward converting the spot-kick to defeat the Spaniards 2–1.