In ceramic superconductors, where the intergrain coupling is weak, the phase transition at Tco corresponds to the temperature at which phase coherence occurs in all the grains. The region between Tm, the mid point of the superconducting transition, and Tco, the temperature at which the resistivity goes to zero, is called the paracofioerence region. The resistivity behaviour of single phase Tl2CaBa2Cu2O8, CaLaBaCu3O7−y and CaSmBaCu3O7−y has been studied in the above region and the results indicate that the excess conductivity varies as (T − Tco)−γ. © 1990, Elsevier Science Publishers B.V. (North-Holland). All rights reserved.