In February, she swept the junior division of the Antonia Koshel Cup competition, held in Minsk, Belarus.

[5] In June, Varinska competed at the 2016 European Women's Artistic Gymnastics Championships, held in Bern, Switzerland.

[7] Varinska's final international outing in 2016 saw her compete only uneven bars, balance beam, and floor exercise.

[11] In June, a video of Varinska's bars routine at the Ukraine Cup, an internal Ukrainian competition, emerged online.

Throughout the beginning of 2018, Varinska competed at multiple FIG World Cups, winning gold on uneven bars, balance beam, and floor exercise in Osijek.

[13] In August she competed at the European Championships where she helped Ukraine finish fifth in the team competition; however she failed to qualify to any individual event finals.

During the all-around final she won the bronze medal behind Angelina Melnikova of Russia and Lorette Charpy of France.

[17] In September Varinska competed at the Paris Challenge Cup where she won gold on floor exercise and bronze on balance beam.

However, Varinska finished twenty-sixth in the all-around and qualified to the final and as an individual to the Olympic Games in Tokyo.

Varinska began the season competing at the Melbourne World Cup where she won gold on uneven bars and placed fourth on balance beam.

[19] Most of the remaining meets scheduled to take place in 2020, including the Olympic Games, where either canceled or postponed until 2021 due to the worldwide COVID-19 pandemic.

Varinska returned to competition in October at the Szombathely Challenge Cup where she won gold on uneven bars and placed fifth and fourth on balance beam and floor exercise respectively.