A method of operating a binaural hearing aid system comprising, in each hearing aid of the binaural hearing aid system, the steps of: - providing an ipse-lateral input signal from an input transducer accommodated in an ipse-lateral hearing aid of the binaural hearing aid system; - providing a contra-lateral input signal by wirelessly receiving an input signal from an input transducer accommodated in a contra-lateral hearing aid of the binaural hearing aid system; and - combining the ipse-lateral and the contra-lateral input signal in order to provide a spatially processed signal; wherein the step of combining the ipse-lateral and the contra-lateral input signals in order to provide the spatially processed signal comprises the steps of: - filtering the contra-lateral input signal in an inter-aural transfer function filter and hereby providing a filtered contra-lateral input signal; - providing a difference signal between the ipse-lateral input signal and the filtered contra-lateral input signal; wherein the spatially processed signal is configured to provide a lower sensitivity for sounds incident from the direction of the contra-lateral hearing aid as opposed to sounds incident from the directly opposite direction, wherein the step of combining the ipse-lateral and the contra-lateral input signals in order to provide the spatially processed signal is only carried out for a frequency range below a predetermined cut-off frequency, and wherein the predetermined cut-off frequency is in the range between 500 Hz and 2 kHz and wherein the provided sensitivity corresponds to a fixed directional pattern. - providing an ipse-lateral input signal from an input transducer accommodated in an ipse-lateral hearing aid of the binaural hearing aid system; - providing a contra-lateral input signal by wirelessly receiving an input signal from an input transducer accommodated in a contra-lateral hearing aid of the binaural hearing aid system; and - combining the ipse-lateral and the contra-lateral input signal in order to provide a spatially processed signal; - filtering the contra-lateral input signal in an inter-aural transfer function filter and hereby providing a filtered contra-lateral input signal; - providing a difference signal between the ipse-lateral input signal and the filtered contra-lateral input signal; wherein the spatially processed signal is configured to provide a lower sensitivity for sounds incident from the direction of the contra-lateral hearing aid as opposed to sounds incident from the directly opposite direction, wherein the step of combining the ipse-lateral and the contra-lateral input signals in order to provide the spatially processed signal is only carried out for a frequency range below a predetermined cut-off frequency, and wherein the predetermined cut-off frequency is in the range between 500 Hz and 2 kHz and wherein the provided sensitivity corresponds to a fixed directional pattern. the spatially processed signal is configured to provide a lower sensitivity for sounds incident from the direction of the contra-lateral hearing aid as opposed to sounds incident from the directly opposite direction, wherein the step of combining the ipse-lateral and the contra-lateral input signals in order to provide the spatially processed signal is only carried out for a frequency range below a predetermined cut-off frequency, and wherein the predetermined cut-off frequency is in the range between 500 Hz and 2 kHz and wherein the provided sensitivity corresponds to a fixed directional pattern.