De Bruyne was substituted out of the game after a disagreement with Conte, but the coach has since clarified that any issues between them have been resolved.
"I've understood what I needed to understand, and everything has already been clarified," Conte said.
"Clear agreements and long-lasting friendships are spoken of in my house, and so the situation is already closed," he added.
Conte emphasized that he prefers to focus on the team's overall performance rather than individual players, but acknowledged that De Bruyne is an important part of the team.
"Kevin is from Napoli, the team does well, he does well, the team does poorly, he does poorly," Conte said.
"We know what he can give us, he's a player who needs support and we try to find the right balance," he continued.
Conte also acknowledged that the team will face challenges in the coming season, particularly with the need to play every three days and bring in new players.
"We'll have to improve along the way, involving everyone to prepare for the third year where the situation will be different," he said.
Conte emphasized that he needs to restore the team's focus and reiterate certain concepts to the players, so that they understand what is expected of them.
"It's up to me to restore the situation and reiterate certain concepts to the whole group, so that one time you give it a try and the second time you don't," he said.