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Developing technologies for coupling neural activity and artificial neural components, is key for advancing neural interfaces and neuroprosthetics. We present a biohybrid experimental setting, where the activity of a biological neural network is coupled to a biomimetic hardware network. The implementation of the hardware network (denoted NeuroSoC) exhibits complex dynamics with a multiplicity of time-scales, emulating 2880 neurons and 12.7M synapses, designed on a VLSI chip. This network is coupled to a neural network in-vitro, where the activities of both the biological and the hardware networks can be recorded, processed and integrated bidirectionally in real-time. This experimental setup enables an adjustable and well-monitored coupling, while at the same time providing access to the key functional features of neural networks. We demonstrate the feasibility to functionally couple the two networks and of implementing control circuits to modify the biohybrid activity. Overall, we provide an experimental model for neuromorphic-neural interfaces, hopefully to advance the capability to interface with neural activity, and with its irregularities in pathology