[1] Wi made her junior international debut at the 2018 Asian Open Trophy in August, where she won the bronze medal behind teammate Lee Hae-in and American Gabriella Izzo.

[1] Wi opened the season by winning her first Junior Grand Prix medal, silver, at 2019 JGP France behind Kamila Valieva and ahead of Maiia Khromykh, both of Russia.

[6] She then competed at the 2019 Asian Open Trophy in November, winning gold by over 30 points ahead of teammate Ji Seo-yeon and Hong Kong's Hiu Yau Chow.

[1] Wi finished fourth in the senior division at the 2020 South Korean Championships, behind You Young, Lee Hae-in, and Kim Ye-lim.

At the 2020 World Junior Championships, Wi placed sixth in the short program after her flying sit spin was invalidated.

[9] With the resumption of the regular international season, Wi was assigned to make her Grand Prix debut at the 2021 NHK Trophy, where she finished in ninth place.

[10] Due to her national result, Wi was named to South Korea's team for the 2022 World Junior Championships, but events would soon complicate the situation.

[12] Due to both the invasion and the Omicron variant, the World Junior Championships could not be held as scheduled in Sofia in early March and were rescheduled for mid-April in Tallinn.

[1][16] At the annual national ranking competition, Wi won the bronze medal and was selected to represent South Korea at the 2024 Four Continents Championships.

[19][20] Going on to compete on the 2024–25 Grand Prix series, Wi finished eleventh at 2024 Skate Canada International and seventh at the 2024 NHK Trophy.

[1] In late November, Wi competed at the South Korean Ranking Competition, where she finished in seventh place.