Kullberg
transferred to
Kopparbergs/Göteborg FC in October 2019, after a successful
2019 season with
KIF Örebro DFF in which she played in all 22 Damallsvenskan matches and broke into the national team. Kulberg won the
2020 Damallsvenskan title with Kopparbergs/Göteborg and with the club retitled as
BK Häcken, lifted the 2020-21 Swedish Cup with them. In January 2022 she joined
FA Women's Super League club
Brighton & Hove Albion. She signed an 18-month contract in a double transfer with teammate
Julia Zigiotti Olme. On 9 August 2023, after 30 appearances with Brighton, she signed a new contract with the club. On 11 February 2024, as a substitute, Kullberg scored her debut goals for Brighton, a hat trick against
Wolverhampton Wanders in the
FA Cup for a 4–1 victory, with the winning goals. On 5 June 2024, Brighton reported that Kullberg, alongside three other players, would leave when their contracts expire in June. On 31 July 2024, Kullberg signed a one-year contract with
Juventus. ==International career==