Abstract: A drilling tool of the invention can drill a hole in a work-piece that has a passage, already provided, the diameter of which is to be increased by drilling. In particular, the passage has a discontinuity along the hole, where the diameter of the hole is to be increased along a shorter or longer extension of the hole. To accommodate this task, the drilling tool has a drill head that is provided with (i) at least one first cutting element, extending substantially perpendicular to the rotational axis, and (ii) at least one second cutting element, extending obliquely to the rotational axis. The first cutting element has a first radial extension (r) from the rotational axis, and at least one cutting element has a second radial extension (R) from the rotational axis, such that r is smaller than R.