In 2016, Veinberg-Filanovsky competed at the 2016 Espoo World Cup finishing 13th in the all-around and qualified to the hoop final. On March 17–20, she competed at the 2016 Lisboa World Cup where she finished 12th in the all-around and qualified to three apparatus finals. At the 2016 Baltic Hoop, she won the all-around silver behind Russian Karina Kuznetsova. On April 1–3, she competed at the 2016 Pesaro World Cup where she finished 14th in the all-around. On May 6–8, Veinberg-Filanovsky competed at the Brno Grand Prix finishing 4th in the all-around with a total of 72.100 points; she qualified to all four apparatus finals and won a bronze in ball and ribbon. On May 13–15, Veinberg-Filanovsky finished 6th in the all-around at the 2016 Grand Prix Bucharest. She finished 6th in the all-around at the 2016 Minsk World Cup and qualified to three apparatus finals. On June 17–19, Veinberg-Filanovsky competed at the 2016 European Championships where she finished in 6th place, scoring a new personal best of 73.082 points. On July 1–3, she competed at the 2016 Berlin World Cup finishing 6th in the all-around with a total of 71.700 points; she qualified to all four apparatus finals. She withdrew from competition at the 2016 Kazan World Cup because of injury. On September 23–24, Veinberg-Filanovsky culminated her season with the 2016 Grand Prix Final in Eilat, where she finished 5th in the all-around with a total of 72.383 points behind teammate Linoy Ashram. She qualified to all the apparatus finals, winning a silver in clubs and bronze in hoop, ball and ribbon.