They are called Les Inseparables, the waiter said as he poured our iced lemonade.

Lovebirds, originally from North Africa.

The fincas facade is painted Menorcas classic English red, a shade designed to look like brickwork.

View from the water to the land at Cala Binidali in Menorca

Cala Binidalí, one of many white-sand beaches on the southeastern coast of Menorca, Spain.Credit:TRANS-WORLD PHOTOS/PREMIUM STOCK PHOTOGRAPHY GMBH/ALAMY

And yet, with its white trim and signage, the building is more reminiscent of an Argentinean estancia.

Menorca is quietly unassuming, yet in my view the true beauty of Spains four Balearic Islands.

Its often overlooked by those who dont know better and cherished by those who do.

Pair of photos from hotels in Menorca, one showing a neutral toned interior, and one showing a brick red exterior

From left: A living area at Menorca Experimental, which was designed to look like an artist’s vacation home; the garden at Santa Ponsa, where Moorish influences mix with traditional Balearic architecture.From left: From left: Karel Balas/Courtesy of Menorca Experimental; Yann Deret/Courtesy of Fonteneille

Since then a new international crowd has descended.

Next came a sublime sunset dip off the almost two-mile sandy beach at Son Bou.

We dined in one of the propertys courtyards while bullfrogs chirped under a crescent moon.

A sculpture by artist Eduardo Chillida in the garden of the Hauser & Wirth’s gallery in Menorca

Elogio del Vacío VI, by Eduardo Chillida, on display at Hauser & Wirth Menorca.Daniel Schaefer/Courtesy of The Estate of Eduardo Chillida and Hauser & Wirth

But the highlight of our stay came the next morning.

Marta Perez/Courtesy of Torralbenc

Our next stop wasMenorcaExperimental,less than a mile away.

A sign indicating agriturismo took us through olive groves to a gracious 19th-century finca surrounded by extensive gardens.

A modern guest bedroom at a resort in Menorca

Bedding at Menorca Experimental is by the Marrakesh design studio LRNCE.Karel Balas/Courtesy of Menorca Experimental

We dined in the hotels boutique, where tables had been laid out.

I discouraged my children from dive-bombing.

And just like that, I found myself dreaming about a finca of my own.

Pair of photos from Menorca, one showing a hotel’s courtyard restaurant, one one showing a beet and cheese salad on a blue plate

From left: The courtyard dining area of Torre Vella’s Siempreviva restaurant; a salad of tomatoes, beets, cheese, and pomegranate at Santa Ponsa.From left: Nathalie Carnet/Courtesy of Fontenille; Yann Deret/Courtesy of Fontenille

Exterior of a white hotel building in Menorca, with potted plants and a palm tree

A courtyard at Torralbenc, a pioneering Menorcan farm stay.Marta Perez/Courtesy of Torralbenc

The pool at Torre Vela resort in Menorca

The pool at Torre Vella, a hotel centered around a centuries-old lookout tower.Yann Deret/Courtesy of Fontenille