Aston Villa pipped them to the spot, but Kulusevski knows they can get even better under boss Ange Postecoglou.
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Speaking to SpursPlay, Kulusevski said: "The team performance has been good, we improved a lot.
We wanted more and we were close to getting more but sometimes you have to accept life and keep working and believing in what you are doing.
We started from zero, we changed everything, everything about the club. It is not easy, even if the beginning was the easiest, it's often like that, but I think next season with much more experience, we know what the coach wants, now we go away and rest and come back much hungrier and better."