A sol-gel composition forming upon cure a coating for (meth)acrylic polymers-based substrate comprising at least: (i) a hard coat solution comprising by weight relative to its total weight at least: - 130 to 230 parts of a silane hydrolysate which is a hydrolysate of an epoxysilane having formula below wherein R 1 is an alkyl group with 1 to 6 carbon atoms, preferably a methyl or ethyl group, R 2 is a methyl group or a hydrogen atom, "a" is a whole number from 1 to 6, "b" is 0, 1 or 2; - 30 to 800 parts of colloidal particles of inorganic oxide, and - 5 to 20 parts of an aluminum chelate which is a compound formed by reacting an aluminum alcoholate or acylate with nitrogen- and sulphur-free sequestrating agents, which contain oxygen as the coordinating atom and (ii) at least an adhesion promoter, characterized in that said adhesion promoter comprises a dendritic polyester polymer having a number average molar mass Mn ranging from 1000 to 15000 g/mol and having hydroxyl and alkoxysilane groups at terminal ends thereof and a functionalization ratio hydroxyl/alkoxysilane ranges from 0.4 to 2.5 and having a degree of functionality in hydroxyl and alkoxysilane from 5 to 60, said adhesion promoter represents, weight of the dry extract, relative to the total dry extract weight of the sol-gel composition from 1 to 15%; wherein said coating is an ophthalmic coating. (i) a hard coat solution comprising by weight relative to its total weight at least: - 130 to 230 parts of a silane hydrolysate which is a hydrolysate of an epoxysilane having formula below wherein R 1 is an alkyl group with 1 to 6 carbon atoms, preferably a methyl or ethyl group, R 2 is a methyl group or a hydrogen atom, "a" is a whole number from 1 to 6, "b" is 0, 1 or 2; - 30 to 800 parts of colloidal particles of inorganic oxide, and - 5 to 20 parts of an aluminum chelate which is a compound formed by reacting an aluminum alcoholate or acylate with nitrogen- and sulphur-free sequestrating agents, which contain oxygen as the coordinating atom and - 130 to 230 parts of a silane hydrolysate which is a hydrolysate of an epoxysilane having formula below wherein R 1 is an alkyl group with 1 to 6 carbon atoms, preferably a methyl or ethyl group, R 2 is a methyl group or a hydrogen atom, "a" is a whole number from 1 to 6, "b" is 0, 1 or 2; - 30 to 800 parts of colloidal particles of inorganic oxide, and - 5 to 20 parts of an aluminum chelate which is a compound formed by reacting an aluminum alcoholate or acylate with nitrogen- and sulphur-free sequestrating agents, which contain oxygen as the coordinating atom and (ii) at least an adhesion promoter, characterized in that said adhesion promoter comprises a dendritic polyester polymer having a number average molar mass Mn ranging from 1000 to 15000 g/mol and having hydroxyl and alkoxysilane groups at terminal ends thereof and a functionalization ratio hydroxyl/alkoxysilane ranges from 0.4 to 2.5 and having a degree of functionality in hydroxyl and alkoxysilane from 5 to 60, said adhesion promoter represents, weight of the dry extract, relative to the total dry extract weight of the sol-gel composition from 1 to 15%; wherein said coating is an ophthalmic coating.