[2][3][4] Dalima was born in a football-loving family, as both of her parents were soccer players, and her dad made it pro, as did her sister and her brother.
She joined her father Om Chhibber's football academy Eves Soccer Club at the age of 7 and eventually went on to play for the Indian women's youth teams.
On 14 August 2019, Dalima joined Manitoba Bisons in Canadian West Universities Premier Division.
[10] After two-year long stint and experience with Gokulam Kerala, Chhibber moved back to Canadian side Manitoba Bisons in August 2022.
[11] After spell in Manitoba Bisons, Chhibber returned to India in 2023, signed with Kickstart for 2023–24 IWL season, and became club captain.