  We demonstrate that finite time singularities of Type IV can be consistently
incorporated in the Universe's cosmological evolution, either appearing in the
inflationary era, or in the late-time regime. While using only one scalar field
instabilities can in principle occur at the time of the phantom-divide
crossing, when two fields are involved we are able to avoid such instabilities.
Additionally, the two-field scalar-tensor theories prove to be able to offer a
plethora of possible viable cosmological scenarios, at which various types of
cosmological singularities can be realized. Amongst others, it is possible to
describe inflation with the appearance of a Type IV singularity, and phantom
late-time acceleration which ends in a Big Rip. Finally, for completeness, we
also present the Type IV realization in the context of suitably reconstructed
$F(R)$ gravity.
