Get off at Genova Brignole Station. All trains coming from Rome / La Spezia stop in Brignole, but those coming from Turin, Milan or Ventimiglia sometimes stop only at Genoa P. Principe station.
In this case, it is recommended to reach the Brignole station by underground or train. There are many trains, both local and long-distance, that make the journey between the Principe and Brignole stations.
From here, you can continue by bus.
In front of the Genova Brignole station, you can take buses 16 and 17, getting off at the Europa1 / Ospedale San Martino stop. Or you can take buses 45, 85, 86, 87 and get off at the San Martino 2 / Papigliano stop.