An in vitro method for obtaining a population of stromal progenitor cells from a first selected quantity of adipose tissue containing adipose cells, the method comprising the steps of; - digesting said first quantity with a second quantity of enzymatic buffer of the type used in dissociation of organic and biologic tissues to obtain a population of free cells; - seeding this population of free cells into culture media needed for their expansion characterized in that said adipose tissue is white adipose tissues of subcutaneous provenience and said first quantity is between 0,004 ml and 0,036 ml and that second quantity is between 0,9 ml and 1,1 ml, and in that said second quantity comprises solvent and soluble means which comprise: Dulbecco's Modified Eagle Medium (DMEM) Penicillin (1U/ml) & Streptomycin (1mg/ml) Sodium Pyruvate Non-essential amino acids comprising: L-Alanine (0,89 mg/dl); L-Asparagine H 2 0 (1,5 mg/dl); L-Aspartic Acid (1,33 mg/dl); L-Glutamic Acid (1,47 mg/dl); Glycine (0,75 mg/dl); L-Proline (1,15 mg/dl); L-Serine (1,05 mg/dl) and wherein said soluble means comprise: - class I and II Collagenase mixture; and that - said class I and II Collagenase mixture has an enzymatic activity between 0.1 U/mg and 5.5 U/mg of lyophilized product, having an enzymatic concentration between 1,74 and 1,78 U/ml of said solvent means and wherein said soluble means comprise: - Clostripain at a concentration between 0 U/mg and 7.6 U/mg of lyophilized product; - Proteases at a concentration between 0.05 U/mg and 164 U/mg of liophylized product; - Trypsin at a concentration between 0.23 U/mg and 2.3 U/mg of liophylized product in a form selected between single agents or in combination. - digesting said first quantity with a second quantity of enzymatic buffer of the type used in dissociation of organic and biologic tissues to obtain a population of free cells; - seeding this population of free cells into culture media needed for their expansion Dulbecco's Modified Eagle Medium (DMEM) Penicillin (1U/ml) & Streptomycin (1mg/ml) Sodium Pyruvate Non-essential amino acids comprising: L-Alanine (0,89 mg/dl); L-Asparagine H 2 0 (1,5 mg/dl); L-Aspartic Acid (1,33 mg/dl); L-Glutamic Acid (1,47 mg/dl); Glycine (0,75 mg/dl); L-Proline (1,15 mg/dl); L-Serine (1,05 mg/dl) and wherein said soluble means comprise: - class I and II Collagenase mixture; and that - said class I and II Collagenase mixture has an enzymatic activity between 0.1 U/mg and 5.5 U/mg of lyophilized product, having an enzymatic concentration between 1,74 and 1,78 U/ml of said solvent means and wherein said soluble means comprise: - Clostripain at a concentration between 0 U/mg and 7.6 U/mg of lyophilized product; - Proteases at a concentration between 0.05 U/mg and 164 U/mg of liophylized product; - Trypsin at a concentration between 0.23 U/mg and 2.3 U/mg of liophylized product in a form selected between single agents or in combination. - class I and II Collagenase mixture; and that - said class I and II Collagenase mixture has an enzymatic activity between 0.1 U/mg and 5.5 U/mg of lyophilized product, having an enzymatic concentration between 1,74 and 1,78 U/ml of said solvent means and wherein - Clostripain at a concentration between 0 U/mg and 7.6 U/mg of lyophilized product; - Proteases at a concentration between 0.05 U/mg and 164 U/mg of liophylized product; - Trypsin at a concentration between 0.23 U/mg and 2.3 U/mg of liophylized product in a form selected between single agents or in combination.