Bundgaard progressed through the youth academy of Randers FC, after he started playing football for Hornbæk SF and Randers Freja.[4] He made 28 appearances for the under-17 team, scoring 16 goals between 2018 and 2021.[5] In the 2020–21 season, he scored five goals in 15 appearances for the under-19 side.[5]
On 5 July 2020, Bundgaard made his professional debut for Randers' first team, coming on as a substitute in the 90th minute alongside his brother Oliver Bundgaard, in the 3–2 Danish Superliga relegation group win over Hobro IK.[6] Thereby, he became the youngest ever Randers' player and the second youngest ever player in Superliga history, behind only Jeppe Kjær.[7] This remained his only appearance during the 2019–20 season.[5]
He signed his first professional contract on 30 September 2020, a three-year deal keeping him at the club until 2023.[8] In the 2020–21 season, Bundgaard made eleven total appearances.[5] He scored his first goal for the club on 10 November 2020 in a Danish Cup win over Aarhus Fremad, becoming Randers' youngest ever goalscorer as well as the youngest ever goalscorer in the cup.[9] He also won his first trophy at the end of the season, as Randers beat SønderjyskE by 4–0 in the final.[10]
On 17 October 2022, he extended his contract with Randers until 2026, after becoming a regular starter for the club as an 18-year-old.[13][5]
Brøndby IF
On transfer deadline day, February 1, 2024, Bundgaard was sold for around 22-25 million Danish kroner to Brøndby IF, where he signed a contract until June 2028.[14]
After one appearance for the under-17s,[18] Bundgaard was included in the Denmark under-18 squad, making his debut in a friendly against Norway on 4 September 2021 in Selånger, Sweden.[19] He scored his first international goal on 28 March 2022 for the under-18s in a friendly against England, his shot squirming through the arms of goalkeeper Max Thompson shortly before the break in an eventual 3–3 draw.[20]
Bundgaard is the younger brother of fellow professional football and Denmark youth international Oliver Bundgaard, who preceded him into Randers FC's academy where both were to spend their formative years.[4]
Career statistics
As of match played 1 February 2024
Appearances and goals by club, season and competition