The former Chelsea boss helped Real break Barcelona's dominance at the top of Spanish football by winning the Primera Division title for the first time in four years this season, but they fell at the semi-finals of the Champions League for the second consecutive season since Mourinho took charge.
And he is now looking to make history by recreating his success with Porto and Inter Milan and claiming Real's 10th European crown.
Speaking on a promotional visit to Indonesia, he told AS: "I want to win the Champions League with three distinct teams. Now Real Madrid has won the league, the objective for next season is to win the Champions League."
However, Mourinho denied that should he succeed in achieving that goal he could take charge of the Portuguese national team in the near future.
"I don't believe I could manage a national team that only plays a game every two months and an official tournament every two years. I need the pressure of facing two or three games every week."
Borussia Dortmund hears Wembley Calling and are headed to London for the Champions League final.
The new PUMA evoSPEED 1.2 FG. A great new soccer cleat with classic look and first time for PUMA to be on the cleat.
Chelsea won the Europa League on Wednesday. The Blues defeated Benfica 2-1 on injury time goal from Ivanovic.
Bayern Munich are kings of Germany and hope to be crowned kings of Europe at Wembley later this month!
The Liverpool 2013/14 soccer jersey is available for pre-order. The Reds are eager to compete for silver next season.
The adidas Nitrocharge is the most talked about new cleat in years. It was released on May 15 and will take your pitch by storm.
The push for more color on their cleats, adidas has added the infrared colorway to the adiZero f50 Line.
The Juventus jersey for the 2013/14 was released earlier this week. Be the first to wear the colors of the Old Lady.
Ajax has released their away soccer jersey for the 2013/14 season. Get in the Gear.
adidas has added some color to the Predator line with this new colorway. Released on May 17. Be the first to own a pair.