Top 5 Can’t Miss Stroll the colorful Boccadasse fishing neighborhood, where you can enjoy a sunset cocktail or gelato and admire the Ligurian Sea. Shop for artisan goods from small shoemakers and leatherworkers, and visit Romanengo to taste treats from Italy’s oldest confectionery factory. Sleep in a renovated palace—Genoa has a few luxury boutique hotels where you can rest like a royal, including Palazzo Durazzo.  Eat classic Genoese cuisine, like pesto, focaccia, and farinata . Find them all over the city at unassuming trattorias and delicatessens like Sà Pesta and Panificio Mario. Hop on a train to nearby Camogli or a ferry to Portofino for hiking, swimming, and an aperitivo with a view. When we arrived in Genoa, also called Genova, we discovered much about this destination that many in Italy already know: that it’s a little gritty but highly welcoming, the pasta is as fabulous as any you’ll find in Florence, and it’s not plagued by over-tourism. “It’s off the beaten path.…