  In the multi-component configurations of dark matter phenomenology, we
propose a minimal two-component configuration which is an extension of the
Standard Model with only three new fields; one scalar and one fermion interact
with the thermal soup through Higgs portal, mediated by the other scalar in
such a way that the stabilities of dark matter candidates are made
simultaneously by an explicit $Z_2$ symmetry. Against the most common
freeze-out framework, we look for dark matter particle signatures in the
freeze-in scenario by evaluating the relic density and detection signals. A
simple distinguishing feature of the model is the lack of dark matter
conversion, so the dark matter components act individually and the model can be
adapted entirely to both singlet scalar and singlet fermionic models,
separately. We find dark matter self-interaction as the most promising approach
to probe such feeble models. Although the scalar component satisfies this
constraint, the fermionic one refuses it even in the resonant region.
