A double-sided, indexable, non-positive ramping insert having a 180-degree rotational symmetry about each of the first, second and third axes (X, Y, Z) of a three-dimensional Euclidean space, a first median plane defined by the second and third axes (Y, Z), a second median plane defined by the first and third axes (X, Z) and a third median plane defined by the first and second axes (X, Y), the ramping insert comprising two first surfaces located on opposite sides of the first median plane, and an insert peripheral surface extending between the first surfaces and intersecting each first surface at a peripheral edge, each first surface comprising two raised corners and two lowered corners, the raised corners being farther from the first median plane than the lowered corners; the insert peripheral surface comprising two second surfaces and two third surfaces extending therebetween, each first surface comprising exactly two opposite cutting portions, each cutting portion comprising: a major cutting edge formed at an intersection of the first and second surfaces (24, 30); a corner cutting edge at one of the raised corners, and a wiper edge connected to the major cutting edge via the corner cutting edge; wherein, each cutting portion further comprises a ramping edge extending transversely from the wiper edge and forming an acute ramping angle (α) with the third median plane in a view parallel to the first axis; and each third surface comprises only two non-positive ramping relief surfaces, wherein each ramping relief surface extends from a respective ramping edge towards, but not beyond, the first median plane, and the third surface comprises two non-positive wiper relief surfaces, each wiper relief surface extending from a respective wiper edge towards the first median plane. the ramping insert comprising two first surfaces located on opposite sides of the first median plane, and an insert peripheral surface extending between the first surfaces and intersecting each first surface at a peripheral edge, each first surface comprising two raised corners and two lowered corners, the raised corners being farther from the first median plane than the lowered corners; the insert peripheral surface comprising two second surfaces and two third surfaces extending therebetween, each first surface comprising exactly two opposite cutting portions, each cutting portion comprising: a major cutting edge formed at an intersection of the first and second surfaces (24, 30); a corner cutting edge at one of the raised corners, and a wiper edge connected to the major cutting edge via the corner cutting edge; a major cutting edge formed at an intersection of the first and second surfaces (24, 30); a corner cutting edge at one of the raised corners, and a wiper edge connected to the major cutting edge via the corner cutting edge; each cutting portion further comprises a ramping edge extending transversely from the wiper edge and forming an acute ramping angle (α) with the third median plane in a view parallel to the first axis; and each third surface comprises only two non-positive ramping relief surfaces, wherein each ramping relief surface extends from a respective ramping edge towards, but not beyond, the first median plane, and the third surface comprises two non-positive wiper relief surfaces, each wiper relief surface extending from a respective wiper edge towards the first median plane.