We study the inclusive production of strange vector K*(892)+mesons in π-A reactions at near-threshold laboratory incident pion momenta of 1.4-2.0 GeV/c via a nuclear spectral function approach.The approach accounts for incoherent primary π-meson-proton π-p → K*(892)+Σ-production processes as well as the influence of the scalar K*(892)+-nucleus potential(or the K*(892)+in-medium mass shift)on these processes.We calculate the ab-solute differential and total cross sections for the production of K*(892)+mesons from carbon and tungsten nuclei at laboratory angles of 0°-45° and at the aforementioned momenta in five scenarios for the aforenoted shift.We show that the K*(892)+momentum distributions and their excitation functions(absolute and relative)possess a high sensit-ivity to changes in the in-medium K*(892)+mass shift in the low-momentum region of 0.1-0.6 GeV/c.Therefore,the measurement of such observables in a dedicated experiment at the GSI pion beam facility in the near-threshold mo-mentum domain will allow us to get valuable information on the K*(892)+in-medium properties.