Above: Four Season Hotel Gresham Palace.

As the leaves fall in central Europe, Four Season Hotel Gresham Palace (Gresham Palace Budapest Széchenyi István tér 5-6; 36-1/268-6000; fourseasons.com/Budapest) is offering an extra night free for guests staying in Budapest throughout the autumn. Divided by the Danube, the distinct districts of Buda and Pest combined in 1873 to form one of Europe’s most beguiling capitals. Visitors to the szerelem városa—the city of love—will find more than 200 museums and galleries, almost 50 different theaters  and a world-class opera house. Each room offers views of the Danube, the Chain Bridge, the Buda Hills, the Fisherman’s Bastion, and the Royal Castle. Marble bathrooms include deep-soaking bath tubs, while the Art Deco styling is complemented by iPod docking stations and high-speed internet. The “Stay Longer” package is available for Danube river-view guest rooms and includes a complimentary third night with every two consecutive paid nights.