A native of Orby, Sweden, Brome also skated in 190 professional games in the Allsvenskan from 2013-17, totaling 94 points (35-59-94), a plus-28 rating and 44 penalty minutes with VIK Vasteras HK, Asploven HC and Mora. Before his professional career, Brome skated for Huddinge IK and Vasteras in in the Swedish junior circuit, totaling 69 points (32-37-69) in 62 games at the under-18 level and 84 points (36-48-84) in 107 games in Sweden's top junior league. Internationally, Brome has represented Sweden at the last two Euro Hockey Tours, totaling six points (1-5-6) in 12 games at the event in 2018 and 2019.