The hospitable David Papi has converted his family’s country house, dating from 1770, into a quiet and luxurious retreat in the valley just below Cortona. The former farm is well-suited to a romantic getaway, as many of the enormous suites are set up as spas, with sumptuous handcrafted furnishings surrounding pool-size soaking tubs and hydromassage showers that double as steam rooms. Surrounding the handsome stone buildings are lawns and flower gardens tended by David’s lovely mom, Gabriella, and among them two outbuildings have been set up as guest cottages. A well-regarded restaurant overlooks the swimming pool and its surrounding terrace.