Day 1 Barcelona, Spain

The infinite variety of street life, the nooks and crannies of the medieval Barri Gòtic, the ceramic tile and stained glass of Art Nouveau facades, the art and music, the throb of street life, the food (ah, the food!)—one way or another, Barcelona will find a way to get your full attention. The capital of Catalonia is a banquet for the senses, with its beguiling mix of ancient and modern architecture, tempting cafés and markets, and sun-drenched Mediterranean beaches. A stroll along La Rambla and through waterfront Barceloneta, as well as a tour of Gaudí's majestic Sagrada Famíliaand his other unique creations, are part of a visit to Spain's second-largest city. Modern art museums and chic shops call for attention, too. Barcelona's vibe stays lively well into the night, when you can linger over regional wine and cuisine at buzzing tapas bars.

Day 2 Palma de Mallorca, Spain

If you look north of the cathedral (La Seu, or the seat of the bishopric, to Mallorcans) on a map of the city of Palma, you can see around the Plaça Santa Eulàlia a jumble of tiny streets that made up the earliest settlement. Farther out, a ring of wide boulevards traces the fortifications built by the Moors to defend the larger city that emerged by the 12th century. The zigzags mark the bastions that jutted out at regular intervals. By the end of the 19th century, most of the walls had been demolished; the only place where you can still see the massive defenses is at Ses Voltes, along the seafront west of the cathedral.A torrent (streambed) used to run through the middle of the old city, dry for most of the year but often a raging flood in the rainy season. In the 17th century it was diverted to the east, along the moat that ran outside the city walls. Two of Palma's main arteries, La Rambla and the Passeig d'es Born, now follow the stream's natural course. The traditional evening paseo (promenade) takes place on the Born.If you come to Palma by car, park in the garage beneath the Parc de la Mar (the ramp is just off the highway from the airport, as you reach the cathedral) and stroll along the park. Beside it run the huge bastions guarding the Almudaina Palace; the cathedral, golden and massive, rises beyond. Where you exit the garage, there's a ceramic mural by the late Catalan artist and Mallorca resident Joan Miró, facing the cathedral across the pool that runs the length of the park.If you begin early enough, a walk along the ramparts at Ses Voltes from the mirador beside the cathedral is spectacular. The first rays of the sun turn the upper pinnacles of La Seu bright gold and then begin to work their way down the sandstone walls. From the Parc de la Mar, follow Avinguda Antoni Maura past the steps to the palace. Just below the Plaça de la Reina, where the Passeig d'es Born begins, turn left on Carrer de la Boteria into the Plaça de la Llotja (if the Llotja itself is open, don't miss a chance to visit—it's the Mediterranean's finest Gothic-style civic building). From there stroll through the Plaça Drassana to the Museu d'Es Baluard, at the end of Carrer Sant Pere. Retrace your steps to Avinguda Antoni Maura. Walk up the Passeig d'es Born to Plaça Joan Carles I, then right on Avenida de La Unió.

Day 3 Mahón, Menorca, Spain

The capital of Menorca since 1721, Mahon has a impressive natural deep water harbour, which is one of the largest in the world. This, coupled with its strategic location, has made it a stronghold for many nations throughout history. Mahon has an abundance of historical buildings, the oldest being the Arch of Saint Roc which is all that remains of the wall that once encircled the whole town. The island was occupied by the British during the 18th century and Lord Nelson is thought to have stayed there. Indeed, San Antoni Mansion, located on the north side of the harbour, houses a collection of Nelson memorabilia. The legacy of colonial rule can be seen in the muted Georgian style of some of the buildings, but Mahon still boasts attractive examples of neo-Classical, Baroque and Romanesque architecture. With narrow streets to explore, pleasant shaded squares and welcoming pavement cafés, there is something for everyone to enjoy. Please be aware that most shops in town close for a siesta between 1330 and 1730.

Day 4 Cagliari, Italy

Known in Sardinia as Casteddu, the island's capital has steep streets and impressive Italianate architecture, from modern to medieval. This city of nearly 160,000 people is characterized by a busy commercial center and waterfront with broad avenues and arched arcades, as well as by the typically narrow streets of the old hilltop citadel (called, simply, “Castello”). The Museo Archeologico makes a good starting point to a visit. The imposing Bastione di Saint Remy and Mercato di San Benedetto (one of the best fish markets in Italy) are both musts.

Day 5 Palermo, Italy

Once the intellectual capital of southern Europe, Palermo has always been at the crossroads of civilization. Favorably situated on a crescent-shaped bay at the foot of Monte Pellegrino, it has attracted almost every culture touching the Mediterranean world. To Palermo's credit, it has absorbed these diverse cultures into a unique personality that is at once Arab and Christian, Byzantine and Roman, Norman and Italian. The city's heritage encompasses all of Sicily's varied ages, but its distinctive aspect is its Arab-Norman identity, an improbable marriage that, mixed in with Byzantine and Jewish elements, created some resplendent works of art. No less noteworthy than the architecture is Palermo's chaotic vitality, on display at some of Italy's most vibrant outdoor markets, public squares, street bazaars, and food vendors, and above all in its grand climax of Italy's most spectacular passeggiata (the leisurely social stroll along the principal thoroughfare).

Day 6 Messina, Italy

Home to the Museo Regionale of Messina, known for featuring two of Caravaggio's paintings, the city is also famous for having been the capital of the ancient kingdom of Sicily.

Day 7 Corfu, Greece

Corfu town today is a vivid tapestry of cultures—a sophisticated weave, where charm, history, and natural beauty blend. Located about midway along the island's east coast, this spectacularly lively capital is the cultural heart of Corfu and has a remarkable historic center that UNESCO designated as a World Heritage Site in 2007. All ships and planes dock or land near Corfu town, which occupies a small peninsula jutting into the Ionian Sea.Whether arriving by ferry from mainland Greece or Italy, from another island, or directly by plane, catch your breath by first relaxing with a coffee or a gelato in Corfu town's shaded Liston Arcade, then stroll the narrow lanes of its pedestrians-only quarter. For an overview of the immediate area, and a quick tour of Mon Repos palace, hop on the little tourist train that runs from May to September. Corfu town has a different feel at night, so book a table at one of its famed tavernas to savor the island's unique cuisine.The best way to get around Corfu town is on foot. The town is small enough so that you can easily walk to every sight. There are local buses, but they do not thread their way into the streets (many now car-free) of the historic center. If you are arriving by ferry or plane, it's best to take a taxi to your hotel. Expect to pay about €10 from the airport or ferry terminal to a hotel in Corfu town. If there are no taxis waiting, you can call for one.

Day 8 Bari, Italy

Bari, capital of the province of Apulia, lies on southern Italy's Adriatic coast. Its busy port is a leading commercial and industrial centre as well as a transit point for travellers catching ferries across the Adriatic to Greece. Bari comprises a new and an old town. To the north, on a promontory between the old and new harbours, lies the picturesque old town, or Citta Vecchia, with a maze of narrow, crooked streets. To the south is the spacious and regularly planned new town, which has developed considerably since 1930, when the Levant Fair was first held here. The heart of the modern town is Piazza della Liberta. The busy thoroughfare, Corso Vittorio Emanuele II, separates the new town from the old. At the eastern end of the Corso begins the Lungomare Nazario Sauro, a magnificent seafront promenade that runs along the old harbour. Bari and the Apulian region were long recognized for their strategic location, attracting a succession of colonizers such as the Normans, Moors and Spaniards, each leaving their mark. 

Day 9 Zadar, Croatia

Dalmatia's capital for more than 1,000 years, Zadar is all too often passed over by travelers on their way to Split or Dubrovnik. What they miss out on is a city of more than 73,000 that is remarkably lovely and lively despite—and, in some measure, because of—its tumultuous history. The Old Town, separated from the rest of the city on a peninsula some 4 km (2½ miles) long and just 1,640 feet wide, is bustling and beautiful: the marble pedestrian streets are replete with Roman ruins, medieval churches, palaces, museums, archives, and libraries. Parts of the new town are comparatively dreary, a testament to what a world war followed by decades of communism, not to mention a civil war, can do to the architecture of a city that is 3,000 years old. A settlement had already existed on the site of the present-day city for some 2,000 years when Rome finally conquered Zadar in the 1st century BC; the foundations of the forum can be seen today. Before the Romans came the Liburnians had made it a key center for trade with the Greeks and Romans for 800 years. In the 3rd century BC the Romans began to seriously pester the Liburnians, but required two centuries to bring the area under their control. During the Byzantine era, Zadar became the capital of Dalmatia, and this period saw the construction of its most famous church, the 9th-century St. Donat's Basilica. It remained the region's foremost city through the ensuing centuries. The city then experienced successive onslaughts and occupations—both long and short—by the Osogoths, the Croatian-Hungarian kings, the Venetians, the Turks, the Habsburgs, the French, the Habsburgs again, and finally the Italians before becoming part of Yugoslavia and, in 1991, the independent republic of Croatia. Zadar was for centuries an Italian-speaking city, and Italian is still spoken widely, especially by older people. Indeed, it was ceded to Italy in 1921 under the Treaty of Rapallo (and reverted to its Italian name of Zara). Its occupation by the Germans from 1943 led to intense bombing by the Allies during World War II, which left most of the city in ruins. Zadar became part of Tito's Yugoslavia in 1947, prompting many Italian residents to leave. Zadar's most recent ravages occurred during a three-month siege by Serb forces and months more of bombardment during the Croatian-Serbian war between 1991 and 1995. But you'd be hard-pressed to find outward signs of this today in what is a city to behold. There are helpful interpretive signs in English all around the Old Town, so you certainly won't feel lost when trying to make sense of the wide variety of architectural sites you might otherwise pass by with only a cursory look.

Day 10 Venice, Italy

Venice is a city unlike any other. No matter how often you've seen it in photos and films, the real thing is more dreamlike than you could imagine. With canals where streets should be, water shimmers everywhere. The fabulous palaces and churches reflect centuries of history in what was a wealthy trading center between Europe and the Orient. Getting lost in the narrow alleyways is a quintessential part of exploring Venice, but at some point you'll almost surely end up in Piazza San Marco, where tourists and locals congregate for a coffee or an aperitif.