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The Mill, Pigna, Liguria, Italy, €1.5m
Where: In the northwest corner of Italy, on the border of France, 1.5km from the medieval village of Pigna, 15km from the beach, and a one-hour drive from Nice Côte d’Azur airport.
What: A converted olive mill, built in 1850, with an older attached stone mill, a detached cottage and a small rustico (stone shed). In total, the property has eight double bedrooms, five bathrooms and 620 sq metres of internal living space.
Why: Built at the junction where two rivers cross, with no other properties nearby, the plot amounts to just under half an acre. It is surrounded by olive groves and woodland.
Who: Chesterton Humberts, chesterton-international.com, tel: +44 203 040 8210
Little Bokeelia Island, Gulf Coast, Florida, US, $29.5m
Where: Off the coast of Pine Island, western Florida. Journeys by car and boat take an hour from Southwest Florida international airport in Fort Myers.
What: A 104-acre private island, with 3.5 miles of shoreline. The Spanish-style main house has four bedrooms and there is also a two-bedroom guest house. Within the grounds there is a museum, pool, tennis court and staff quarters.
Why: Little Bokeelia offers complete privacy, with the area around the island a designated nature reserve.
Who: Michael Saunders & Company, michaelsaunders.com, tel: +1 941 522 5228
303 Campbell Hill Road, Scotsburn, Nova Scotia, Canada, C$699,000 ($665,000)
Where: On the southeast coast of Canada in Pictou County, 82 miles from Halifax international airport.
What: A new three-bedroom, three-bathroom home, with 3,711 sq ft of living space. In the grounds are a whirlpool tub, a golf driving range and a trout stream.
Why: On a hilltop within an 85-acre country estate, the house is designed for privacy, being 2km from the nearest neighbouring property.
Who: Tradewinds Realty, tradewindsrealty.com, tel: +1 902 275 5613
Eilean Righ, Loch Craignish, Argyll and Bute, Scotland, UK, £3m
Where: Off the coast of Argyll, in the Inner Hebrides, 25 minutes by helicopter from Glasgow airport, or a ten-minute boat trip from Ardfern on the mainland.
What: A refurbished four-bedroom main house and three-bedroom farmhouse, plus 261 acres of land. There is an observatory, boathouse, jetty, two slipways (suitable for seaplanes) and a 500 sq metre helicopter hanger.
Why: Eilean Righ, or “The King’s Island”, was once owned by Sir Reginald Johnston, who retired here after being the tutor to Pu Yi, the last Emperor of China.
Who: Knight Frank, knightfrank.co.uk, tel: +44 131 222 9600
Farmhouse, Esporles, Mallorca, Spain, €6m
Where: In the Balearic Islands off the coast of Spain, 8km from the town of Esporles, 24km from Palma airport.
What: An estate comprising of a main house, a staff apartment and a casita, making a total of nine bedrooms and seven bathrooms. It is set in 160 acres of land, mostly woodland, with level terraces for cultivation, a pool and patio area.
Why: The property is in a remote location high in the Tramuntana mountain range, at the end of a 5km dirt track. It is self-sufficient for heating with wood-burning stoves, while water is supplied from three wells.
Who: Savills, savills.co.uk, tel: +44 207 016 3740