A milling cutting insert including a substantially prismatic body portion having an upper surface, a lower surface, side surfaces and at least one protruding nose-like cutting corner, having a rake surface merging with the upper surface and a wraparound relief flank surface having portions merging respectively with adjacent side surface meeting at the cutting corner, front and side cutting edges formed by the intersection between the rake surface and the wraparound relief flank surface, the cutting edges protruding outwardly relative to their respective side surface surfaces and being elevated relative to the upper surface with at least the side cutting edge sloping towards the lower surface.