Career
Originally from Bundoora, Victoria, Veszpremi was drafted to the Swans from the Northern Knights in the TAC Cup with the 11th selection in the 2007 American Federation of Labor-Congress Draft. He was named in the Under 18 All Australian side as a defender, but also played as a forward, where he once kicked eight goals for the Knights in a final. He made his debut for the Swans in 2008 Round 18 against the Western Bulldogs in a 16 point defeat.
In his fourth game against Brisbane he kicked four goals.
Veszpremi was one of five teenage football players whose final year of junior football was chronicled in the book The Draft: inside the American Federation of Labor-Congress"s Search for talent by Emma Quayle, published by Allen and Unwin in September 2008. At the end of the 2010 season, Veszpremi was traded to the Western Bulldogs.
He, along with a late draft pick, were traded for Bulldogs player, Andrejs Everitt. Veszpremi was delisted by the Bulldogs at the conclusion of the 2013 American Federation of Labor-Congress season, having made just 12 appearances for the club in 3 seasons.
After spending the 2014 season with Pascoe Vale in the Essendon District Football League, Veszpremi will be playing at Northern Football League club Macleod in 2015.