A double-sided cutting insert having a plurality of convex cutting edges, said double-sided cutting insert comprising: a top face and a bottom face separated by a virtual middle plane; at least three convex cutting edges (21,31) on each of said top and bottom faces (11,12), each convex cutting edge having at least a curved cutting edge region (22,32); and at least three nose corners (25,35) on each of said top and bottom faces (11,12), each nose corner connecting two of said convex cutting edges (21,31); the double-sided cutting insert further comprising: at least three peripheral side surfaces (19,20) extending from each of said top and bottom faces (11,12) to said virtual middle plane, each peripheral side surface comprising: a primary conical peripheral surface (26,36) extending from a curved cutting edge region (22,32) toward said virtual middle plane; and a secondary conical peripheral surface (29,39) extending from a nose corner (25,35) toward said virtual middle plane; and at least three lateral seating surfaces, each lateral seating surface formed on an adjacent pair of peripheral side surfaces (19,20) of said top and bottom faces (11,12), such that each lateral seating surface defines a common lateral seating surface for both said top and bottom faces (11,12); characterized in that each of said top and bottom faces (11,12) is provided with chip breaker geometry (45,46); and each of said top and bottom faces (11,12) is single-handed in same direction. a top face and a bottom face separated by a virtual middle plane; at least three convex cutting edges (21,31) on each of said top and bottom faces (11,12), each convex cutting edge having at least a curved cutting edge region (22,32); and at least three nose corners (25,35) on each of said top and bottom faces (11,12), each nose corner connecting two of said convex cutting edges (21,31); at least three peripheral side surfaces (19,20) extending from each of said top and bottom faces (11,12) to said virtual middle plane, each peripheral side surface comprising: a primary conical peripheral surface (26,36) extending from a curved cutting edge region (22,32) toward said virtual middle plane; and a secondary conical peripheral surface (29,39) extending from a nose corner (25,35) toward said virtual middle plane; and at least three lateral seating surfaces, each lateral seating surface formed on an adjacent pair of peripheral side surfaces (19,20) of said top and bottom faces (11,12), such that each lateral seating surface defines a common lateral seating surface for both said top and bottom faces (11,12); characterized in that each of said top and bottom faces (11,12) is provided with chip breaker geometry (45,46); and each of said top and bottom faces (11,12) is single-handed in same direction. a primary conical peripheral surface (26,36) extending from a curved cutting edge region (22,32) toward said virtual middle plane; and a secondary conical peripheral surface (29,39) extending from a nose corner (25,35) toward said virtual middle plane; and at least three lateral seating surfaces, each lateral seating surface formed on an adjacent pair of peripheral side surfaces (19,20) of said top and bottom faces (11,12), such that each lateral seating surface defines a common lateral seating surface for both said top and bottom faces (11,12); characterized in that each of said top and bottom faces (11,12) is provided with chip breaker geometry (45,46); and each of said top and bottom faces (11,12) is single-handed in same direction.