Disks around T Tauri stars are known to lose mass, as best shown by the profiles of the forbidden emission lines of low-ionization species. At least two separate kinematic components have been identified, one characterized by velocity shifts of tens to hundreds of km s −1 (HVC) and one with a much lower velocity of a few km s −1 (LVC). The HVC are convincingly associated to the emission of jets, but the origin of the LVC is still unknown. In this paper we analyze the forbidden line spectrum of a sample of 44 mostly lowmass young stars in Lupus and σ Ori observed with the X-shooter ESO spectrometer. We detect forbidden line emission of O , O , S , N , and N , and characterize the line profiles as LVC, blueshifted HVC, and redshifted HVC. We focus our study on the LVC.We show that there is a good correlation between line luminosity and both L star and the accretion luminosity (or the mass accretion rate) over a large interval of values (L star ∼ 10 −2 −1 L ; L acc ∼ 10 −5 −10 −1 L ;Ṁ acc ∼ 10 −11 −10 −7 M /yr). The lines show the presence of a slow wind (V peak < 20 km s −1 ) that is dense (n H > 10 8 cm −3 ), warm (T ∼ 5000−10 000 K), mostly neutral. We estimate the mass of the emitting gas and provide a value for the maximum volume it occupies. Both quantities increase steeply with the stellar mass, from ∼10 −12 M and ∼0.01 AU 3 for M star ∼ 0.1 M , to ∼3 × 10 −10 M and ∼1 AU 3 for M star ∼ 1 M , respectively. These results provide quite stringent constraints to wind models in low-mass young stars, that need to be explored further.