A native of Olomouc, Czechoslovakia (now the Czech Republic), Vařeková moved to New York City at the age of 19 to attend the Parsons School of Design.

Vařeková appeared on the covers of several magazines, including the Sports Illustrated Swimsuit Issue.

She took part in shoots by photographers including Patrick Demarchelier, Gilles Bensimon, Ellen Von Unsworth, Greg Kadel and Peter Lindbergh, and appeared in campaigns for Gap, Chanel, Guess, Nivea, Escada, Chopard, Pantene, Ungaro, Patek Philippe, Hublot, Victoria's Secret, and Newport News.

During this trip she met the African Wildlife Foundation team in Tanzania, and in October 2009 she became a Goodwill Ambassador for the organisation.

Veronica resides in New York City, but also spends time in Prague to be close to family and friends.