A hearing device for a binaural hearing system comprising the hearing device and a contralateral hearing device, the hearing device comprising: a transceiver module for communication with a contralateral hearing device of the binaural hearing system, the transceiver module configured to obtain a contralateral beamform signal from the contralateral hearing device; a set of microphones comprising a first microphone for provision of a first microphone input signal, and a second microphone for provision of a second microphone input signal; a first beamforming module, connected to the set of microphones, for provision of a first beamform signal based on the first microphone input signal and the second microphone input signal; a filter bank, connected to the first beamforming module and the transceiver module, for filtering the first beamform signal into a plurality of first sub-band beamform signals including a first bandpass beamform signal, and for filtering the contralateral beamform signal into a contralateral bandpass beamform signal; a second beamforming module connected to the filter bank, the second beamforming module comprising a bandpass beamformer for provision of a second bandpass beamform signal based on the first bandpass beamform signal and the contralateral bandpass beamform signal; an adder, connected to the bandpass beamformer, for provision of a beamformed input signal based on the second bandpass beamform signal; a processor for processing the beamformed input signal and providing an electrical output signal based on the beamformed input signal; and a receiver for converting the electrical output signal to an audio output signal, wherein the bandpass beamformer of the second beamforming module is an adaptive beamformer. a transceiver module for communication with a contralateral hearing device of the binaural hearing system, the transceiver module configured to obtain a contralateral beamform signal from the contralateral hearing device; a set of microphones comprising a first microphone for provision of a first microphone input signal, and a second microphone for provision of a second microphone input signal; a first beamforming module, connected to the set of microphones, for provision of a first beamform signal based on the first microphone input signal and the second microphone input signal; a filter bank, connected to the first beamforming module and the transceiver module, for filtering the first beamform signal into a plurality of first sub-band beamform signals including a first bandpass beamform signal, and for filtering the contralateral beamform signal into a contralateral bandpass beamform signal; a second beamforming module connected to the filter bank, the second beamforming module comprising a bandpass beamformer for provision of a second bandpass beamform signal based on the first bandpass beamform signal and the contralateral bandpass beamform signal; an adder, connected to the bandpass beamformer, for provision of a beamformed input signal based on the second bandpass beamform signal; a processor for processing the beamformed input signal and providing an electrical output signal based on the beamformed input signal; and a receiver for converting the electrical output signal to an audio output signal, wherein the bandpass beamformer of the second beamforming module is an adaptive beamformer.