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We present one year of optical and near-infrared photometry and spectroscopyof the Type IIP SNe 2013K and 2013am. Both objects are affected by significantextinction, due to their location in dusty regions of their respective hostgalaxies, ESO 009-10 and NGC 3623 (M65). From the photospheric to nebularphases, these objects display spectra congruent with those of underluminousType IIP SNe (i.e. the archetypal SNe 1997D or 2005cs), showing lowphotospheric velocities (~2 X 10**3 km/s at 50d) together with features arisingfrom Ba II which are particularly prominent in faint SNe IIP. The peak V-bandmagnitudes of SN 2013K (-15.6 mag) and SN 2013am (-16.2 mag) are fainter thanstandard-luminosity Type IIP SNe. The ejected Nickel masses are 0.012+-0.010and 0.015+-0.006 Msol for SN 2013K and SN 2013am, respectively. The physicalproperties of the progenitors at the time of explosion are derived throughhydrodynamical modelling. Fitting the bolometric curves, the expansion velocityand the temperature evolution, we infer total ejected masses of 12 and 11.5Msol, pre-SN radii of ~460 and ~360 Rsol, and explosion energies of 0.34 foeand 0.40 foe for SN 2013K and SN 2013am. Late time spectra are used to estimatethe progenitor masses from the strength of nebular emission lines, which turnout to be consistent with red supergiant progenitors of ~15 Msol. For both SNe,a low-energy explosion of a moderate-mass red supergiant star is therefore thefavoured scenario.

SNe 2013K and 2013am: observed and physical properties of two slow, normal Type IIP events