Mr & Mrs Smith

Borrow some rackets and balls and try out the clay tennis courts. The hotel provides snorkelling equipment, so you can explore the marine reserve. There’s a stash of mountain bikes for guests to wheel around on (ask staff for suggested routes). Cap Rocat also has a list of individually priced activities and experiences, including golf, sailing, deep-sea fishing, diving, horse riding, pilates, yoga, helicopter or boat charters and guided visits to local street markets, private villas or cultural hotspots. The fortress’ former kitchen is now used for private dining and cookery classes. Have a culinary lesson with chef Victor García; whip up a three-course meal then sit down to enjoy it over wine and coffee (€150 a person, plus tax). Palma is a 15-minute drive away – browse the boutiques for beachwear, have a wave-side lunch and finish off with cocktails in one of the glitzy bars.

Restaurante Panoramica (+34 971 740211) is a five-minute bike ride from Cap Rocat, at 29 Carreterra Paseo de las Damas, Cala Blava. Sit outside admiring the sea, and enjoy the unpretentious Mallorcan cuisine – fresh fish, paella – and Asian-inspired specials. Tristán (+34 971 679083) at Puerto Portals serves up sophisticated fare such as suckling pig and carpaccio of Mallorcan scampi with passionfruit vinaigrette and sugar peas. There’s also an enticing tapas menu. For a meal with added romance, dine at the Smith-approved Ca’s Xorc (+34 971 638280) under the candlelit olive trees, at Carretera de Deia, Sóller. Es Moli de’n Bou (+34 971 569663) is a beachside restaurant with a Michelin star, at Carrer Liles, Sa Coma. Treats include morel mushrooms with onion cream, fish of the day with cocoa and almonds, tenderloin with asparagus and clams and partridge with aniseed broth and potato cream.

For a romantic pre-dinner drink, head to Abaco (+34 971 714939) at 1 Calle Sant Joan in La Lonja. Dress up for the opulent cocktail bar, set in a stylishly converted townhouse, and sip cocktails in the flower-filled courtyard.

Sweet-tooths will love Ca’n Joan de s’Aigo (+34 971 710759) at 10 Calle Can Sanç. This Mallorca institution has been going strong since the 17th century – one bite of the fluffy pastries and a sip of the rich hot chocolate make it clear why.

Have a night that sparkles with Balearic glam at El Divino (+34 692 631622) at 33 Paseo Marítimo. The latest addition to Palma’s nightlife scene provides a heady shot of glamour in the heart of the Paseo Marítimo. The second floor has dazzling views over Palma Bay and the cathedral, and there’s a swimming pool on the outdoor terrace.