Kane was missing from the Spurs squad which drew 2-2 with Chelsea in a friendly game at Stamford Bridge on Wednesday.
Without their want-away talisman, Tottenham recovered from a two-goal deficit thanks to strikes from Lucas Moura and Steven Bergwijn.
Kane is holding out for a big money move to champions Manchester City this summer and has refused to report for pre-season training so far this week.
"I expect to speak with Harry soon. I haven't had the chance yet. We have to first of all solve the problems ourselves, then I will speak to you," Nuno told the press following Spurs' 2-2 pre-season draw at Chelsea.
"It's not that I don't want to comment, what I believe is all this issue in relation to everything should be discussed internally, among us. Let's try to avoid any kind of public argument or discussion about it. We have to focus on what is important, solve the situation, between us.
"We will solve the situation internally, with the club speaking and trying to reach a better solution and a conclusion to the situation.
"All of pre-season has been hard for every club. It's different, I know, but the absence of a lot of players due to international duty has made it a hard time for a lot of managers."
Tottenham will play their first Premier League game of the 2021/2022 season against Manchester City next week.
