After being passed up on in the national draft less than a week earlier, Grieve was ultimately drafted by Carlton with the club's second pick and the twelfth selection overall in the same year's rookie draft.[1] She made her debut in a 22-point loss to ‹See Tfd›Brisbane at Ikon Park in the third round of the 2018 season.[2][3] She was delisted by Carlton at the end of the 2018 season.[4]
In October 2018, after leaving Carlton, Grieve joined Fremantle as a free agent.[5] In June 2021, Fremantle delisted Grieve who played 14 games for the club.[6]