Biological invasions stand among the main anthropogenic threats to ecosystems globally while causing multitrillion-dollar impacts. Surprisingly, while trait-based frameworks have been designed to predict invasion success and invader ecological impacts, no such approaches exist to understand and predict economic impacts. We propose the first such framework by bridging the evolutionary biology of traits and the escalation of invasion costs. Previously acquired traits can benefit performance, and their rapid change could exacerbate impacts through adaptive and non-adaptive processes during invasion, such as natural selection, genetic drift, or phenotypic plasticity. Emerging evidence suggests that some organismal traits can determine economic impact magnitudes. We discuss new transdisciplinary avenues that can inform cost forecasting and management responses for current and future biological invasions.