Magnetic, electric and mechanical properties can be strongly coupled in multiferroic materials. However, only few models were developed to describe electro-magneto-mechanical coupling effects on them. We report the influence of the strain induced phase transitions on the enhancement of the magnetoelectric intrinsic properties in multiferroic Pb[(Fe2/3W1/3)((1-x))Ti-x]O-3 (x = 0.17,0.20) ceramics. We argue that when both ferroelectric and antiferromagnetic transitions temperatures are closer together, the magnetoelectric intrinsic and extrinsic responses increase. Colossal magnetoelectric intrinsic response was found for Pb(Fe2/3W1/3)(0.83)Ti0.17O(3).