Valve assembly for a fluid injector for a combustion engine comprising - a valve body with a valve recess, a central longitudinal axis and a first axial end and a second axial end with respect to the central longitudinal axis, - a valve needle being axially movable within the valve recess with respect to the central longitudinal axis and which prevents in concurrence with a seal seat area of the valve body a fluid flow through at least one flow hole in its closing position and otherwise enables it, - a sac volume step adjacent to the seal seat area forming a part of an inner surface of a wall of the valve body, - a sac volume being designed as one end of the valve recess and being limited by a further part of the inner surface of the wall of the valve body, and the further part of the inner surface extending away from the sac volume step towards the first axial end of the valve body, and - at least one flow hole which penetrates the wall of the valve body in the region of the sac volume from the valve recess to an outside region of the valve body, wherein the further part of the inner surface of the wall of the valve body limiting the sac volume comprises a conically shaped area adjacent to the sac volume step, wherein the conically shaped area has a decreasing distance to the central longitudinal axis in direction to the first axial end of the valve body, wherein - the further part of the inner surface of the wall of the valve body limiting the sac volume comprises a conically shaped ground area adjacent to the conically shaped area, wherein the conical shape of the conically shaped ground area differs from one of the conically shaped area and has a decreasing distance to the central longitudinal axis in direction to the first axial end of the valve body, and - the further part of the inner surface of the wall of the valve body comprises a further spherically shaped part of the inner surface adjacent to the conically shaped ground area, wherein the cone angle of the conically shaped area has a value between 130° and 150°, whereas the cone angle of the conically shaped ground area has a value between 90° and 120°, and wherein the height (h) of the conically shaped ground area is in the range from 0.2 mm to 0.4 mm. - a valve body with a valve recess, a central longitudinal axis and a first axial end and a second axial end with respect to the central longitudinal axis, - a valve needle being axially movable within the valve recess with respect to the central longitudinal axis and which prevents in concurrence with a seal seat area of the valve body a fluid flow through at least one flow hole in its closing position and otherwise enables it, - a sac volume step adjacent to the seal seat area forming a part of an inner surface of a wall of the valve body, - a sac volume being designed as one end of the valve recess and being limited by a further part of the inner surface of the wall of the valve body, and the further part of the inner surface extending away from the sac volume step towards the first axial end of the valve body, and - at least one flow hole which penetrates the wall of the valve body in the region of the sac volume from the valve recess to an outside region of the valve body, wherein the further part of the inner surface of the wall of the valve body limiting the sac volume comprises a conically shaped area adjacent to the sac volume step, wherein the conically shaped area has a decreasing distance to the central longitudinal axis in direction to the first axial end of the valve body, wherein - the further part of the inner surface of the wall of the valve body limiting the sac volume comprises a conically shaped ground area adjacent to the conically shaped area, wherein the conical shape of the conically shaped ground area differs from one of the conically shaped area and has a decreasing distance to the central longitudinal axis in direction to the first axial end of the valve body, and - the further part of the inner surface of the wall of the valve body comprises a further spherically shaped part of the inner surface adjacent to the conically shaped ground area,