A method of upsetting and flaring a thin-walled metal tubular probe with one closed end onto a non-metallic plate in a single tooling set-up. The closed end of the tubing probe is inserted in a hole in the plate and a mandrel inserted in the open end of the tube and spring biased to register against the interior of the closed end of the tube which has an anvil washer received thereover which supports the tube wall. A pilot tool is registered against the closed end of the tube; and, an annular tool is received over the mandrel and registers against the open end of the tube. With the annular tool supporting axially the open end of the tube, the pilot tool is moved against the closed end of the tube and bulges a portion of the tube in a recess provided in the plate or in the anvil washer against one side of the plate. The annular tool is then moved axially to flare the open end of the tube against the opposite side of the plate.