Los Blancos opted to bring the veteran Portuguese coach back to the club for a second spell in charges after failing to win a major trophy since 2024.
Mourinho has been busy in the transfer market - including a club record deal for Ivory Coast winger Yan Diomande - but his preseason preparations have been disrupted by the 2026 FIFA World Cup.
Several of Real Madrid's main stars are just days back in training - ahead of opening their league campaign at Espanyol on August 22nd.
Spain's final success, alongside England and France reaching the semi-finals has been an issue for Mourinho, but he's pleased by the adaption of his returning players after a 3-0 friendly win at Bundesliga outfit Schalke 04.
"Some players arrived later and don't yet have the same intensity as those who've been here longer. There's a difference in pace, but the ideas are gradually coming together.
"We have players of incredible quality. We're working very well as a team, with and without the ball. I'm happy with the latest arrivals, because it's not easy for them.
"It's all about the small details that make a big difference. The team is starting to look like a team."