A two-stage filtering drain cover that can be retrofitted to an existing, original construction, areaway drain cover. The filtering drain cover of the invention inhibits the accumulation of debris on the existing drain cover, and passage of debris into the drain, and helps to prevent clogs and flooding. The outer cover member of the device is configured with passages that permit liquid flow through the outer cover while filtering larger size debris particles that may be entrained in the passing liquid. A perimeter wall on the outer cover and with similar liquid flow passages stops larger debris from passing the outer cover. An inner filter member fits within the outer cover and is configured with relatively smaller passages to obstruct smaller sized debris that may have penetrated the outer cover from passing into the drain.