Diffuse radio emission from galaxy clusters is observationally classified into peripheral relics and central halos, so far believed to arise from different particle injection mechanisms. Relics, in particular, were identified as particle (re)acceleration in weak shocks, leading to observational peculiarities such as the unexplained nature of halo-relic radio bridges. I will show that diffuse radio emission from the intracluster medium, in its various forms, can be explained as arising from hadronic collisions involving the same population of cosmic ray ions, distributed homogeneously across the cluster.