Flow diverting structures for preferentially impeding, redirecting or both impeding and redirecting the flow of flowable encapsulant material, such as molding compound, proximate a selected surface or surfaces of a semiconductor die or dice during encapsulation are disclosed. Flow diverting structures may be included in or associated with one or more portions of a lead frame, such as a paddle, tie bars, or lead fingers. Flow diverting structures may also be inserted into a mold in association with semiconductor dice carried on non-lead frame substrates, such as interposers and circuit boards, to preferentially impede, redirect or both impede and redirect the flow of molding compound flowing between and over the semiconductor dice.