We investigate the effects of isospin asymmetry on the competition between color-
superconductivity and inhomogeneous chiral symmetry breaking in dense two-flavor quark matter
using an extended Nambu–Jona-Lasinio model. We confirm the appearance of a coexistence win-
dow where chiral symmetry is inhomogeneously broken and a nonzero spatially homogeneous
diquark gap is present, consistently with previous works, and show that such a phase survives
at nonzero isospin chemical potentials. We also discuss how the model phase structure becomes
modified as large isospin asymmetries are considered