Since 1995 she moved to the United States with her family. Elina Groberman won the New York (state) Women's Chess Championships three years in a row (1996-1998). In 1998, she won the Pan American Youth Girl's Chess Championship in the U18 age group. Three times she participated in the World Junior Chess Championship (1997-1999). In 2000, Elina Groberman shared first place with Camilla Baginskaite in the U.S. Women's Chess Championship. In 2001, Elina Groberman participated in Women's World Chess Championship by knock-out system and in the first round lost to Nana Ioseliani.