In recent years our understanding of the equation of state (EoS) of dense nuclear matter has been significantly improved by the analysis of multimessenger data from gravitational wave and radio and X-ray pulsars. The interpretation of such data established important constraints for physical observables as maximum mass, radius, and tidal deformability of a neutron star inspiral: to describe dense matter the EoS must be stiff enough to support a state with mass greater than $2M_{\odot}$ and, at the same time, its stiffness must be moderated to correspond to radius in the range $11.8 < R_{1.4} \text{(km)} < 13.4$. As a consequence, sound velocity can exceed its conformal value, $c_s^2 \leq $ 1/3, for densities few times of the nuclear matter densities. In this talk, I will show how quarkyonic matter is a good candidate to take into account the behavior of the EoS of dense matter, and how to construct a simple quarkyonic-like excluded volume model that may account for some of the required constraints.