An iterative approach, not restricted to field strength nor to resonance conditions, is used to solve the nonautonomous Bloch equations modeling the interaction of a bichromatically driven two-level atom in the presence of an off-resonant broadband squeezed vacuum (SV) radiation reservoir. The system parameters are chosen such that the absolute difference between the iterative and (exact) numerical solutions is [Formula: see text](10−2) or less. For some limiting cases, range of validity of the iterative procedure is estimated analytically. The derived analytical solutions are used to calculate the transient fluorescent spectrum. Some previously obtained results (both experimental and theoretical) in the normal vacuum case are recovered. In the SV case, with strong resonant (off-resonant) bichromatic field strength, the transient spectrum shows many symmetrical (asymmetrical) resonances of weights and locations dependent on the SV detuning parameter.