She has worked for numerous designers including Anna Sui, Vera Wang, Marc Jacobs, Donna Karan, Anne Klein, Blumarine, Miu Miu, BCBG Max Azria, Calvin Klein, Louis Vuitton, Nina Ricci and Prada.

Paul Rowland, the founder of Supreme (part of Women NY), met Suvi for the first time in New York City.

Later the same year, she appeared on the cover of Amica magazine (Germany) and in print ads for Anteprime.

In February 2007 she walked the runways for Chanel, Hermès, Jil Sander, and Nina Ricci, among others.

[4] In August 2007 New York Magazine chose "The Top Ten Models to Watch This Fashion Week" and placed Koponen on third.

[5] In September 2007 she was named one of British Vogue's "Head Girls," a model to watch out for in the upcoming season.

In February 2008 MTV3 aired a documentary about her and Koponen said that she doesn't "care about weight things, but it's more important to me that I'm happy, and I feel good.

[10] She also has the text "imported" tattooed under her chest, three lines on her left wrist and "Cat" on her right hand, which stands for her model friend, Catherine McNeil.