She is the younger sister of Varatchaya Wongteanchai who also plays on the ITF Women's Circuit.

On 3 October 2016, Varunya reached her highest WTA singles ranking of 616.

At the 2012 PTT Pattaya Open, she partnered her sister Varatchaya and they defeated Dominika Cibulková and Janette Husárová in the first round, before losing to eventual champions Sania Mirza and Anastasia Rodionova.

At the 2013 PTT Pattaya Open, Wongteanchai again partnered with her sister after the pair gained entry by an alternate spot.

They defeated third seeds Chan Hao-ching and Chan Yung-jan in the first round, then defeated Irina Buryachok and Valeria Solovyeva in the quarterfinals, before losing to Akgul Amanmuradova and Alexandra Panova in the semifinals.