A binaural listening system comprises first and second listening devices adapted for being located at or in left and right ears, respectively, of a user, the binaural listening system being adapted for receiving a wirelessly transmitted signal comprising a target signal and an acoustically propagated signal comprising the target signal as modified by respective first and second acoustic propagation paths from an audio source to the first and second listening devices. Spatial information is provided to an audio signal streamed to a pair of listening devices of a binaural listening system. The first and second listening devices each comprise an alignment unit for aligning the first and second streamed target audio signals with the first and second propagated electric signals in the first and second listening devices, respectively, to provide first and second aligned streamed target audio signals in the first and second listening devices, respectively.