2016 brought three international competitions for Varinska. In February, she swept the junior division of the Antonia Koshel Cup competition, held in Minsk, Belarus. Varinska placed first on every apparatus, and also in the all-around. In June, Varinska competed at the 2016 European Women's Artistic Gymnastics Championships, held in Bern, Switzerland. She placed 30th in the all-around competition, with a score of 50.099. She achieved a 13.900 on vault, 11.200 on the uneven bars, 12.366 on the balance beam, and 12.633 on the floor exercise. Varinska did not qualify into any finals. She contributed to the Ukrainian team's 152.787 points, to achieve an 11th-place finish in the team qualification.