The Real Madrid great spoke to Milan's media channels this morning for the first time since completing his transfer.
Modric said: "I wanted to stay in Europe to continue playing competitive football. I had other offers, but when AC Milan called me, it was clear to me. I wanted him from the start.
"I was also impressed by the fact that sporting director (Igli) Tare came to Croatia to present the project and AC Milan to me. It was very important for me; it showed me how much they wanted to bring me here. AC Milan is one of the biggest clubs in Europe.
"AC Milan can't be satisfied with mediocrity; we need to set ourselves the highest possible goals: winning titles and competing with the best teams in the world. That's why I'm here."
Hunger to win
On what he can bring to the Rossoneri, Modric also said: "First and foremost, I come with a lot of respect for everyone: players, coaches, and the club in general. I want to bring my hunger to win, help my teammates in every way, and work hard to earn my place in the team. It's never easy; you have to work hard and fight.
"I've watched a lot of Italian football; it's a very competitive league that's grown a lot. There are many Croatian players playing in Italy, and I enjoy following my national teammates. There are great teams, good players. It's a very tactical and physical league."
The Croatia midfielder added, "I'm really happy to be at AC Milan. I can't wait to see you at San Siro. We hope to make you happy and give you many wonderful moments this season, to make you proud of us and celebrate many victories together. Forza Milan!"