Bompastor was a two-time winner of the National Union of Professional Footballers (UNFP) Female Player of the Year, and following a move to the Women's Professional Soccer (WPS) league in the United States, earned Player of the Month and All-Star honors.

In 2000, she joined Division 1 Féminine club ESOF Vendée La Roche-sur-Yon and performed well enough to earn a move to Montpellier.

At Montpellier, Bompastor earned domestic and individual honors, which resulted in a move to champions Lyon.

[4] After helping the Freedom reached the playoffs, Bompastor returned to France where she played for Paris Saint-Germain on loan.

In 2010, she announced that she would be returned to Lyon for the 2010–11 season and, subsequently, was a part of the team that won the 2010–11 UEFA Women's Champions League.

That same year, Bompastor earned selection to an exclusive female team that was given clearance to train at the Clairefontaine academy by the French Football Federation.

She spent four years at the club before joining ESOF Vendée La Roche-sur-Yon of the Division 1 Féminine in 2000.

This gave her six titles in a span of four years, equal to teammates Camille Abily and Élodie Thomis who were also a part of the same Montpellier squad Bompastor previously had played for.

In the 2009 Women's Professional Soccer season, Bompastor appeared in 19 games (all starts, 1709 total minutes) and scored four goals with six assists.

On 27 September 2008, Bompastor picked up her 100th cap in a crucial UEFA Women's Euro 2009 qualifying match against Iceland,[11] which France won 2–1.

She subsequently led them to 7 trophies won overall including 3 consecutive Division 1 titles in the 2021–22, 2022–23 and 2023–24 seasons and the UWCL in 2021–22 with a 1-3 win over Barcelona in the final.