Evolution of hot and cold accretion models with Z = 0.0001, final masses of M_fin = 0.7 and 0.8 M_⊙, M_seed = 10 M_J, R_seed = 3 R_⊙, and ṁ = 10⁻⁵ M_⊙ yr⁻¹. The results are shown for different mass values (M_ini) at the beginning of the cold disc accretion. Standard non-accreting models (grey lines) are also shown for comparison purposes. Top left panel: HR diagram with the position of models at 1 Myr (filled triangles) and 10 Myr (filled squares), deuterium burning region (thick magenta line), and the end of the accretion phase (crosses) are marked. The position of the beginning of the cold disc accretion for the different starting masses is also shown. Top right panel: evolution of the total radius (in solar radius) and central temperature (in units of 10⁶ K) as a function of the stellar mass during the protostellar phase. Bottom left panel: temporal evolution of the temperature at the bottom of the convective envelope and surface lithium abundance (normalised to the initial one) for accreting and non-accreting models (grey lines). Bottom right panel: contribution to the total luminosity of the nuclear (L_nuc.), accretion (L_acc.), and gravitational luminosity (L_gra.) as a function of the actual value for the total mass.