An integrated steelmaking plant for merging continuous operation of a reduction reactor producing hot DRI with the batch operation of a DRI melting furnace(s). The reactor produces hot DRI for a DRI melting furnace or cold DRI continuously even when the DRI production exceeds the DRI consumption rate of the furnace or suffers long-term operational delays. The reduction reactor has a DRI cooling zone therein which is selectively operable for cooling DRI when the hot DRI produced in the reactor can't all be consumed by the DRI melting furnace and when the capacity of the DRI bin feeding the melting furnace is insufficient to accumulate additional hot DRI. No separate DRI cooling vessel plus its gas compressor and gas cooling-cleaning system is needed, thus decreasing capital and operational costs. This also permits a flexible and modular construction and operation of a steelmaking plant with high or low pressure reduction reactors.