Veena also broke the mold with her romantic roles. In , she portrayed complex emotional struggles that went beyond typical romantic tropes. Her characters were often women navigating love while fighting societal constraints, giving her romantic storylines a layer of gravitas that resonated with female audiences across Sri Lanka.
: She formalized her artistic background by studying traditional dance under Pramila Kuruppu and Daya Nellampitiya, later mastering Kathak dance under the guidance of legendary artist Mst. Sirimathi Rasadari.