Using the method of Green functions equation of motion we considered the three dimensional Anderson lattice model with attractive interaction between f-electrons. We studied the appearance of superconductivity as a function of this attractive interaction and a hybridization between localized f-electrons and conduction c-electrons. The zero temperature phase diagram as a function of the hybridization and the strength of the attractive interaction is obtained. In this phase diagram a quantum phase transition is found which is characterized by a break up of the conventional BCS superconductor state, as the hybridization increases after a certain critical value, V c, and, at the same time, the beginning of a metallic-like state with preformed pairs. At sufficiently large attractive interactions and for V > V c, a superfluid state of Bose condensed pairs appears. We investigate for a possible coexistence between these pairs that form the superfluid state, characterized by gapped dispersion relations, and the metallic-like state characterized by gapless electronic excitations. © 2012 Elsevier B.V. All rights reserved.