The gritty port city of Rijeka isn’t a huge tourist draw, with most visitors passing through en route to the islands or the neighbouring seaside resort of Opatija, although the city centre is home to some handsome Austro-Hungarian architecture.

Kotor sits at the head of a beautiful, fjord-like bay, hemmed in by glowering mountains. The compact, walled old town is Montenegro’s star attraction, a warren of little alleyways and shady squares that is often described as a ‘mini Dubrovnik’.

The port of Brindisi sits at the end of the old Via Appia, and was once an important transit point for pilgrims and crusading knights heading east to the Holy Land. Brindisi's compact old town is pleasant enough, but you may prefer to head inland to visit the stunning baroque city of Lecce.

Corfu, known as Kerkyra in Greek, is a beautiful island of verdant hills and rocky coves, and away from the more crowded resorts it remains a sleepy and idyllic place. Don’t miss the picturesque Venetian architecture of Corfu Town, a UNESCO World Heritage Site.

Rugged Kefalonia is the largest of the Ionian islands, and remains unspoilt by tourism despite earning fame as the setting for ‘Captain Corelli’s Mandolin’. The island rewards exploration, with some splendid beaches and lovely little villages, and the vineyards here produce some excellent wines.

Situated on the north eastern tip of Sicily, so close to the Italian mainland you can almost touch it, Messina is the busy main entry point to the island. The city was flattened by an earthquake in 1908, and again by Allied bombing in 1943, so few historical sights remain, although the cathedral is one of Sicily’s most impressive.

Founded by Greek colonists in 734 BC, Siracusa was once the largest city in the ancient world, surpassing even Athens in its splendour. Highlights include the island of Ortigia, where narrow streets are lined by beautiful Baroque architecture, and the impressive ruins at the Parco Archeologico della Neapolis on the Sicilian mainland.

Malta’s tiny capital, established by the Knights of St John, packs in an awful lot of history considering its diminutive size. The atmospheric old streets, bathed in Mediterranean sunshine, are full of attractive honey-golden buildings, along with an impressive selection of bars and restaurants.

Palermo is an acquired taste; noisy, chaotic and rather grimey in places. But there’s something quite intoxicating about the crumbling facades and the bustling markets, and the Arabesque style of many of the buildings hints at Sicily’s historical role as a stepping stone between Europe and North Africa.

The picturesque little town of Amalfi was once a major Mediterranean naval power, but a devastating earthquake in 1343 cut the city down in its prime and destroyed most of its historic buildings. These days, of course, Amalfi is best known for the eponymous stretch of stunning coastline on which it sits.

The UNESCO World Heritage-listed centre of Naples rewards exploration, and in addition to the many cultural treasures waiting to be unearthed Neapolitans are rightly proud of their food; this is where you’ll find the best pizza in Italy. The city also acts as a gateway to the fascinating remains of Pompeii and Herculaneum, and the beautiful Amalfi coast.