In 1935, aged 15, Neveu achieved worldwide celebrity status when she won the Henryk Wieniawski Violin Competition. Unable to afford the cost of travel to Warsaw, the family was helped by Flesch, who paid for the trip. In the preliminary round (of 180 competitors) Neveu was placed first, 26 points ahead of David Oistrakh, and in the final again she came in first. She was 15, Oistrakh 27 at the time. Henri Temianka was placed third. Neveu was immediately signed to an extensive touring contract which over the next two years saw her give solo performances at the leading concert halls of Germany, Poland, the Soviet Union, the United States and Canada.