Composition comprising cork or a cork-based material and a binder which comprises one or more polyepoxides resulting from the mixing of one or more compounds including two or more than two epoxy groups with one or more compounds including two or more than two amine groups, compounds and not being molecules classified as carcinogenic-mutagenic-reprotoxic (or CMR), classes 1A, 1B and 2, in which compounds including two or more than two amine groups are chosen from: - the oil derivatives of formula: in which R 4 denotes a linear or branched C 1-5 alkylene group, such as methylene or ethylene, Me denotes a methyl group, 1 is an integer ranging from 1 to 10, m is an integer ranging from 1 to 3, and p is an integer ranging from 1 to 10, with the proviso that 1 + 3m + p = 17; - polybutadiene derivatives bearing groups -S-R 4 -NH 2, R 4 denoting a linear or branched C 1-5 alkylene group, such as methylene or ethylene; - the allylamine derivatives of formula: R 4 denoting a linear or branched C 1-5 alkylene group, such as methylene or ethylene; - the trimethylolpropane derivatives of formula: R 4 denoting a linear or branched C 1-5 alkylene group, such as methylene or ethylene; - the pentaerythritol derivatives of formula: with 0 ≤ x ≤ 2, and R 4 denoting a linear or branched C 1-5 alkylene group, such as methylene or ethylene; - the cardanol derivatives of formulae and: in which R 4 denotes a linear or branched C 1-5 alkylene group, such as methylene or ethylene, 1 is an integer ranging from 1 to 10, m is an integer ranging from 1 to 3, p is an integer ranging from 0 to 10, and q ranges from 0 to 1; - the vanillin (or coniferyl alcohol) derivatives of formulae: - the para-coumaryl alcohol derivatives of formulae: - the sinapyl alcohol derivatives of formulae: - the gallic acid derivative of formula: with 0 ≤ x ≤ 2, and R 4 denoting a linear or branched C 1-5 alkylene group, such as methylene or ethylene; - the tannin derivatives, such as catechin, of formula: R 4 denoting a linear or branched C 1-5 alkylene group, such as methylene or ethylene; - a phenalkamine of formula: n = 0, 2, 4 or 6 R 5: x between 0 and 5 y between 2 and 12 - the furan derivative of formula: - polylysine; - chitosan derivatives and oligomers thereof; - the amine-modified and amidoamine-modified fatty acid dimers and trimers of formulae: G=NH 2; and R 5 denoting -(CH 2 -CH 2 -NH) x -CH 2 -CH 2 - with x between 0 and 5, -(CH 2) y - with y between 2 and 12, or - the polyether-amines with x, y, z and n ranging from 1 to 1000; and - the diamines of formula: - the oil derivatives of formula: in which R 4 denotes a linear or branched C 1-5 alkylene group, such as methylene or ethylene, Me denotes a methyl group, 1 is an integer ranging from 1 to 10, m is an integer ranging from 1 to 3, and p is an integer ranging from 1 to 10, with the proviso that 1 + 3m + p = 17; - polybutadiene derivatives bearing groups -S-R 4 -NH 2, R 4 denoting a linear or branched C 1-5 alkylene group, such as methylene or ethylene; - the allylamine derivatives of formula: R 4 denoting a linear or branched C 1-5 alkylene group, such as methylene or ethylene; - the trimethylolpropane derivatives of formula: R 4 denoting a linear or branched C 1-5 alkylene group, such as methylene or ethylene; - the pentaerythritol derivatives of formula: with 0 ≤ x ≤ 2, and R 4 denoting a linear or branched C 1-5 alkylene group, such as methylene or ethylene; - the cardanol derivatives of formulae and: in which R 4 denotes a linear or branched C 1-5 alkylene group, such as methylene or ethylene, 1 is an integer ranging from 1 to 10, m is an integer ranging from 1 to 3, p is an integer ranging from 0 to 10, and q ranges from 0 to 1; - the vanillin (or coniferyl alcohol) derivatives of formulae: - the para-coumaryl alcohol derivatives of formulae: - the sinapyl alcohol derivatives of formulae: - the gallic acid derivative of formula: with 0 ≤ x ≤ 2, and R 4 denoting a linear or branched C 1-5 alkylene group, such as methylene or ethylene; - the tannin derivatives, such as catechin, of formula: R 4 denoting a linear or branched C 1-5 alkylene group, such as methylene or ethylene; - a phenalkamine of formula: n = 0, 2, 4 or 6 R 5: x between 0 and 5 y between 2 and 12 - the furan derivative of formula: - polylysine; - chitosan derivatives and oligomers thereof; - the amine-modified and amidoamine-modified fatty acid dimers and trimers of formulae: G=NH 2; and R 5 denoting -(CH 2 -CH 2 -NH) x -CH 2 -CH 2 - with x between 0 and 5, -(CH 2) y - with y between 2 and 12, or - the polyether-amines with x, y, z and n ranging from 1 to 1000; and - the diamines of formula: