[3] Tvesa represented India at the World Amateur Team Championship for the 2016 Espirito Santo Trophy, and at the 2016 and 2017 Queen Sirikit Cup, alongside Diksha Dagar.

In 2018, she won four times and topped the Order of Merit, and also tied for 13th in the Hero Women's Indian Open.

In her rookie year, she played in 12 tournaments and made eight cuts, recording a season-best finish of tied 6th in the Hero Women's Indian Open at DLF Golf and Country Club, her home course.

[1] In 2020, she was in contention at the Lacoste Ladies Open de France, where she tied for 10th having played in the final group alongside the eventual winner, Julia Engström.

[1] In 2021, Tvesa was runner-up at the Gant Ladies Open in Finland, 3 strokes behind Matilda Castren.