  Quantum theory allows for nonlocality without entanglement. Notably, there
exist bipartite quantum measurements consisting of only product eigenstates,
yet they cannot be implemented via local quantum operations and classical
communication. In the present work, we show that a measurement exhibiting
nonlocality without entanglement can be certified in a device-independent
manner. Specifically, we consider a simple quantum network and construct a
self-testing procedure. This result also demonstrates that genuine network
quantum nonlocality can be obtained using only non-entangled measurements. From
a more general perspective, our work establishes a connection between the
effect of nonlocality without entanglement and the area of Bell nonlocality.
