Piedmont's understated glamour deserves an arrival that matches it, yet there's no nonstop way to get there from North Texas — anyone booking business class from Dallas to Turin will be routing through a major European hub, most sensibly Frankfurt or Paris, with Rome as a secondary option via Alitalia's successor. Lufthansa's connection through Frankfurt is the one I favor most seasons, since DFW gets a reliable widebody service into FRA with strong onward frequency to Turin's compact Caselle Airport, and depending on aircraft rotation you may find yourself in the newer Allegris business suite with its sliding door and generous storage — though legacy business seats still fly plenty of these rotations, so it's worth checking your specific equipment before you book. Air France's routing through Charles de Gaulle is the other credible option, landing you into their Terminal 2E business hub with reasonably short connection times to the Turin feeder flights operated by regional partners.
Having flown this corridor more times than I can count for both work and the Slow Food scene around Bra, my strongest advice is this: don't fixate on the transatlantic segment alone — the short intra-European hop into Turin is where itineraries fall apart, so build in at least 90 minutes at FRA or CDG rather than the minimum layover shown by the booking engine, because Turin frequencies are thin and a missed connection can cost you half a day. Frankfurt's business lounges are worth lingering in if you have the buffer; Air France's CDG lounge network is equally strong for a longer break with real food rather than snack service.
Seasonality matters enormously here — January, February, March, October, and November consistently produce the softest business class fares on this corridor, since Piedmont's truffle and wine tourism peaks are bracketed by quieter shoulder periods that airlines discount aggressively to fill premium cabins. Because pricing on this Dallas–Turin corridor shifts quickly with hub carrier promotions, setting up automated fare alerts is the smartest way to catch a premium seat before it disappears.