Real Madrid chief Zinedine Zidane says they now must win the Champions League after lifting the Spanish title.
Jose Mourinho's men wrestled back the title from Barcelona after a four-year absence in record fashion, not only breaking the record points total, but also scoring the highest ever number of goals in a league campaign with 121.
Zidane told his own website: "For a team to have beaten the records, in the number of goals scored as well as in points, winning 32 out of 38 games, it is incredible.
"It has been an extraordinary adventure to be a part of this project.
"For three or four years we weren't champions and when one is at Real Madrid the objective is to advance and reverse that trend.
"What the players have done throughout the whole season has been extraordinary."
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