The result saw Real slip to six points behind leaders Barcelona, but Argentine striker Higuain said: "It was a difficult game in which Atletico had the chance to win a couple of times with very clear chances in front of Iker Casillas. We also had our opportunities but in the end it was a draw.
"It is a shame because it was important to win, but I now think about the new decider against Liverpool.
"The fans need not be disappointed. Six points are two games and this is a very long season. We will fight to the final game with Barcelona for the title."