INAIL Tower also Palazzo INAIL; former as Torre Alitalia, Torre IBM is a skyscraper in Rome, Italy. Has 72 metres and 21 floors. Today, it is one of tallest buildings in the city. Lies within EUR. It is the headquarters of the National Institute for Insurance against Accidents at Work.Built in 1965, was a vertical 19-storey building, 72 metres high, as the seat of the national airline - Alitalia, commonly called "Torre Alitalia" or "Alitalia Skyscraper".