  We show that the Weakly Interacting Massive Particle scenario of
proton-philic spin-dependent inelastic Dark Matter (pSIDM) can still provide a
viable explanation of the observed DAMA modulation amplitude in compliance with
the constraints from other experiments after the release of the
DAMA/LIBRA-phase2 data and including the recent bound from COSINE-100, that
uses the same $NaI$ target of DAMA. The pSIDM scenario provided a viable
explanation of DAMA/LIBRA--phase1 both for a Maxwellian WIMP velocity
distribution and in a halo-independent approach. At variance with
DAMA/LIBRA-phase1, for which the modulation amplitudes showed an isolated
maximum at low energy, the DAMA/LIBRA-phase2 spectrum is compatible to a
monotonically decreasing one. Moreover, due to its lower threshold, it is
sensitive to WIMP-iodine interactions at low WIMP masses. Due to the
combination of these two effects pSIDM can now explain the yearly modulation
observed by DAMA/LIBRA only when the WIMP velocity distribution departs from a
standard Maxwellian. In this case the WIMP mass $m_{\chi}$ and mass splitting
$\delta$ fall in the approximate ranges 7 GeV $\lesssim m_{\chi}\lesssim$ 17
GeV and 18 keV$\lesssim\delta\lesssim$29 keV. The recent COSINE-100 bound is
naturally evaded in the pSDIM scenario due to its large expected modulation
fractions.
