Recently, an extension of the binaural multichannel Wiener filter (BMWF), referred to as BMWF-IR0, was presented in which an interference rejection constraint was added to the BMWF cost function. Although the BMWF-IR_0 aims to entirely suppress the interfering source, residual interfering sources (as well as unconstrained noise sources) are undesirably perceived as impinging the array from the desired source direction. In this paper, we propose two extensions of the BMWF-IR_0 that address this issue by preserving the spatial impression of the interfering source. In the first extension, the binaural cues of the interfering source are preserved, while those of the desired source may be slightly distorted. In the second extension, the binaural cues of both the desired and interfering sources are preserved. Simulation results show that the noise reduction performance of both proposed extensions is comparable to the BMWF-IR_0.