She began her basketball career in her hometown Škofja Loka, playing eight years for her local team Odeja Škofja Loka. In Euroleague, she combined one season in Polkowice with three seasons for Good Angels Košice and one season in Atomerömü KSC Szekszard and in 2018, she moved to ZVVZ USK Praha. In April 2025, Oblak won the 2024–25 EuroLeague Women, Europe's premium basketball competition for women, with the czech team.