Evolution of LLC accreting models with Z = 0.0001, final masses of M_fin = 0.7 and 0.8 M_⊙, ṁ = 10⁻⁵ M_⊙ yr⁻¹, M_seed = 10 M_J, and R_seed = 0.5, 1.5, and 3.0 R_⊙. Standard non-accreting models are also shown for comparison purposes (grey lines). Top left panel: HR diagram. The position of models at 1 Myr (filled triangles) and 10 Myr (filled squares), the region corresponding to the deuterium burning phase (thick magenta line), and the end of the accretion phase (crosses) are marked. Top right panel: evolution of the total radius (in solar units) and central temperature (in units of 10⁶ K) as a function of the actual value of the total mass during the protostellar phase. Bottom left panel: time evolution of the temperature at the bottom of the convective envelope and surface Li (divided by the initial one) for the accreting and non-accreting models (the latter are shown with grey lines). The horizontal yellow shaded region denotes the Li burning temperature range. Bottom right panel: contribution to the total luminosity of the nuclear (L_nuc.) and gravitational luminosity (L_gra.) as a function of the actual value of the total mass.