Polymer compositions that may be used to form fibers for a fiber web are generally described. In some embodiments, certain properties of the polymer compositions (e.g., molecular weight distribution, melt flow index, melt elasticity, and/or melt toughness) may allow the formation of fiber webs having fine fibers and a relatively low amount of process defects. In some instances, these properties of the polymer composition may be achieved by combining two or more polymer components. Fiber webs formed using the polymer composition may have increased performance and/or better structural characteristics compared to fibers webs formed using a single polymer component.