Kulusevski made his comeback earlier this week after being out of action for almost a year and a half with a knee injury.
He came on in the final minutes on Monday night to loud cheers from the home crowd as Tottenham beat Coventry 3-1 in the Premier League.
In the London derby away to Chelsea, the 26-year-old came on in the 89th minute - two minutes after the match at Stamford Bridge had effectively been decided.
Frenchman Mathys Tel ran forward with the ball on his own and made it 2-0 from distance. The first goal, in the 77th minute, came after Chelsea goalkeeper Mike Penders punched the ball into his own goal from a corner.