Cardiovascular surgery involves reconstruction of tissues that are under cyclical mechanical loading, and in constant contact with pulsatile blood flow. Durable biomaterials for such tissue reconstruction are scarce, as they need to be mechanically strong, hemocompatible, and resist structural deterioration from calcification. While homografts are ideal, they are scarce; xenografts are immunogenic and rendered inactive from glutaraldehyde fixation, causing them to calficy and structurally deteriorate over time; decellularized xenografts are devoid of cells, mechanically weak; and synthetic polymeric scaffolds are thrombogenic or too dense to enable host cell infiltration. In this work, we report the in vivo feasibility of a new polymer-decellularized matrix composite material (decellularized bovine pericardium-polycaprolactone: chitosan) fabricated by electrospinning, which is designed to be mechanically strong and achieve programmed host cell honing to integrate into the host. In a rodent and sheep model, this new material was found to be hemocompatible, and enabled host cell infiltration into the polymer and the decellularized matrix core underlying the polymer. Presence of M2 macrophages and several vascular cell types, with matrix remodeling in the vicinity of the cells was observed in the explanted tissues. In summary, the proposed composite material is a novel approach to create in-situ host integrating tissue substitutes, with better non-thrombogenicity, reduced infections and endocarditis, and potentially the ability to grow with the patient and remodeling into a native tissue structure.