 In 1979 he won National tournament in Tallinn and shared 5th place in Paul Keres Memorial Tournament.In 1980 Veingold shared 1st place in Riga Cup.He won the Estonian Chess Championship in 1983, four times finished second (1978, 1980, 1984, 1998) and six times finished third (1975, 1977, 1979, 1982, 1999, 2004).