Cosmetic composition comprising a cosmetic effective amount of at least dedifferentiated elicited Vitis vinifera cells homogeneously distributed in a cosmetic acceptable support, in which the dedifferentiated elicited Vitis vinifera cells, separated the one form the other and/or in cell agglomerates with a particle size of less than 0.5mm separated the one from the other, are dispersed, whereby the dedifferentiated elicited Vitis vinifera cells are enriched with at least a hexapeptide compound of the general formula R 1 -W m -X n -AA1-AA2 -AA3-AA4-AA5-AA6-Y p -Z q -R 2 its stereoisomers and/or its cosmetically or pharmaceutically acceptable salts, characterized in that: AA1 is selected from the group formed by Gln, Glu, Asp and Asn; AA2 is selected from the group formed by Glu, Gln and Asp; AA3 is selected from the group formed by Met, Ile and Leu; AA4 is selected from the group consisting of (a) Arg, Lys and Orn for any AA1, AA2 and AA3, and (b) Gln in case AA1, AA2 and AA3 are respectively Glu, Glu and Met; AA5 is selected from the group consisting of (a) Met, Leu, Ile and Val for any AA1, AA2 and AA3, and (b) Arg in case AA1, AA2 and AA3 are respectively Glu, Glu and Met; AA6 is selected from the group consisting of (a) Gln, Asn and Glu for any AA1, AA2 and AA3, and (b) Arg in case AA1, AA2 and AA3 are respectively Glu, Glu and Met; W, X, Y and Z are each independently an amino acid; m, n, p and q are each independently 0 or 1; R 1 is selected from the group formed by H, a polymer derived from polyethylene glycol, substituted or unsubstituted non-cyclic aliphatic group, substituted or unsubstituted alicyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted heteroarylalkyl, substituted or unsubstituted aryl, substituted or unsubstituted aralkyl and R 5 -CO-, wherein R 5 is selected from the group formed by H, substituted or unsubstituted non-cyclic aliphatic group, substituted or unsubstituted alicyclyl, substituted or unsubstituted aryl, substituted or unsubstituted aralkyl, substituted or unsubstituted heterocyclyl and substituted or unsubstituted heteroarylalkyl; R 2 is selected from the group formed by -NR 3 R 4, -OR 3 and -SR 3, wherein R 3 and R 4 are independently selected from the group formed by H, a polymer derived from polyethylene glycol, substituted or unsubstituted non-cyclic aliphatic group, substituted or unsubstituted alicyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted heteroarylalkyl, substituted or unsubstituted aryl, and substituted or unsubstituted aralkyl; and R 1 or R 2 are not α-amino acids; whereby the dry weight content of said hexapeptide compound of formula in the dedifferentiated Vitis vinifera cells enriched in said hexapeptide compound of formula expressed in a form free from free water is comprised between 0.1% and 8%, preferably between 0.5% and 5%. AA1 is selected from the group formed by Gln, Glu, Asp and Asn; AA2 is selected from the group formed by Glu, Gln and Asp; AA3 is selected from the group formed by Met, Ile and Leu; AA4 is selected from the group consisting of (a) Arg, Lys and Orn for any AA1, AA2 and AA3, and (b) Gln in case AA1, AA2 and AA3 are respectively Glu, Glu and Met; AA5 is selected from the group consisting of (a) Met, Leu, Ile and Val for any AA1, AA2 and AA3, and (b) Arg in case AA1, AA2 and AA3 are respectively Glu, Glu and Met; AA6 is selected from the group consisting of (a) Gln, Asn and Glu for any AA1, AA2 and AA3, and (b) Arg in case AA1, AA2 and AA3 are respectively Glu, Glu and Met; W, X, Y and Z are each independently an amino acid; m, n, p and q are each independently 0 or 1; R 1 is selected from the group formed by H, a polymer derived from polyethylene glycol, substituted or unsubstituted non-cyclic aliphatic group, substituted or unsubstituted alicyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted heteroarylalkyl, substituted or unsubstituted aryl, substituted or unsubstituted aralkyl and R 5 -CO-, wherein R 5 is selected from the group formed by H, substituted or unsubstituted non-cyclic aliphatic group, substituted or unsubstituted alicyclyl, substituted or unsubstituted aryl, substituted or unsubstituted aralkyl, substituted or unsubstituted heterocyclyl and substituted or unsubstituted heteroarylalkyl; R 2 is selected from the group formed by -NR 3 R 4, -OR 3 and -SR 3, wherein R 3 and R 4 are independently selected from the group formed by H, a polymer derived from polyethylene glycol, substituted or unsubstituted non-cyclic aliphatic group, substituted or unsubstituted alicyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted heteroarylalkyl, substituted or unsubstituted aryl, and substituted or unsubstituted aralkyl; and R 1 or R 2 are not α-amino acids;