The Brazilian attacker had been linked with a return to his former club Santos but, with the Sao Paulo outfit unable to finance the move, instead extended his deal with the Rossoneri to 2016.
Speaking ahead of his side's 2-1 Guinness International Champions Cup win over Valencia on Saturday, the 29-year-old was keen to demonstrate his enthusiasm for playing for the San Siro giants and his optimism now his future has been settled.
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"This becomes an important year for me. I had already said that Milan has a team in which I want to play for the next 10 years."
Milan continued their pre-season preparations with victory at the Estadio Mestalla, with Nigel de Jong and Robinho himself both netting in the first-half.
The ex-Manchester City man also revealed his respect for his tournament opponents and his enjoyment whenever playing them.
"Playing against Valencia is difficult, the stadium is beautiful, the people are very charged," he added. "With the Milan shirt on you always want to win and although this is a warm-up tournament, the goal is always to win when you wear this shirt. I'm very happy to play in this great stadium."
The Rossoneri will now play the winners of Chelse's clash with Inter in New York on August 4.