BRD Năstase Țiriac Trophy
Chvojka's first ATP World Tour main-draw singles appearance was a close three-set loss in the first round of the 2011 Rogers Cup to world No. 21 Alexandr Dolgopolov. Chvojka has also made the main draw of the 2012 BRD Năstase Țiriac Trophy in Romania as a lucky loser, but lost to Cedrik-Marcel Stebe in the first round.