 A logic system \(\bL\) is fully Fregean when in every one of its basic full g-models \(\langle \bA, \tFi_{\bL }\bA \rangle\), for every \(F \in \tFi_{\bL }\bA\), the Suszko congruence \({\bOmega^{\sim}_{\bA}}^{\bL}(F)\) coincides with the relation of belonging to the same elements of \(\tFi_{\bL }\bA\) that extend \(F\). It is easy to see that the fully Fregean logics are Fregean and that they are fully selfextensional. 