The former AC Milan midfielder scored one goal and set up the other two as he demonstrated the skill that prompted Real to fork out a world record £56million in the summer of 2009.
Since then, however, the World Cup winner has endured a torrid time through injury and has failed to hold down a first-team spot - but he is now showing signs of being back to his best.
The former world player of the year is adamant he had never considered leaving the Bernabeu and was fully committed to succeeding with Jose Mourinho.
Kaka said: "I am indebted to Real Madrid and the club. It would be very easy to have gone, but that is why I I raised my game.
"I have a dream of winning with Madrid which I want to realise. "
The 29-year-old also paid tribute to the support he received from manager Mourinho and Real president Florentino Perez, who had always wanted him to stay.
He said: "After the game (Perez) gave me a hug and congratulated me.
"He always supported me in bad times. Many have said they wanted to sell, but he said he would not and kept his word. I owe a lot to the president."
"Three parties decided. I do not want to leave, Mourinho did not want me to go and the club did not want to sell."