College Greig began her
collegiate hockey career for
Wisconsin during the
2017–18 season. During her freshman year, she recorded three goals and three assists in 36 games. During
2020–21 season in her sophomore year, she recorded two goals and three assists in 21 games, and helped the Badgers win the
2021 NCAA tournament. During the
2021–22 season in her junior year, she recorded 20 goals and 22 assists in 39 games. During the
2022–23 season in her senior year, she recorded 20 goals and 17 assists in 39 games. During the
2023–24 season, as a graduate student, she recorded 17 goals and 25 assists in 40 games. She finished her collegiate career with 62 goals and 70 assists in 175 games. In November 2024, she signed a standard contract with Montreal. ==Personal life==