There's no nonstop way to bridge the Sandia Mountains and the Alps, so every itinerary for business class from Albuquerque to Turin runs through at least one major hub, and the routing you choose matters more than almost any other decision you'll make on this trip. The most reliable path pairs Delta's domestic network out of ABQ with a transatlantic partner: connect through Atlanta or JFK onto Delta One, then transfer in Amsterdam or Paris onto a partner flight down into Turin, or alternatively route via Rome or Milan on ITA Airways (AZ) after a transatlantic hop through Delta's joint venture. Lufthansa (LH) offers a third credible path, funneling passengers through Frankfurt or Munich with connections onward to Turin's compact Sandro Pertini Airport. Total elapsed time from wheels-up to Turin arrival, factoring the ABQ connection, typically stretches well beyond the ~11-hour transatlantic flying time alone, so plan for a full day of travel.
Delta One on the transatlantic legs is the product to chase here — the suites with sliding doors on Delta's A330-900neo and A350 fleet are the most consistent lie-flat experience you'll find connecting through Atlanta, JFK, or Minneapolis. If your itinerary routes through Frankfurt or Munich on Lufthansa, expect the older long-haul business seat on most 747-8 and A330 equipment, since Lufthansa's new Allegris cabin has only been rolling out gradually and isn't guaranteed on every frame. ITA's short-haul business class from Rome or Milan into Turin is a modest regional product, more about lounge access and priority handling than lie-flat comfort, so don't expect much beyond a blocked middle seat on that final hop.
My insider tip: build in a long layover in Rome or Milan rather than a tight connection, since ITA's intra-Italy schedules to Turin are thin and irregular, and a missed final leg can strand you overnight. January through March and October through November consistently produce the softest fares on this corridor, as European leisure demand dips and business travel hasn't yet ramped for spring. Given how much routing and pricing fluctuate week to week, setting up automated fare alerts is the smartest way to catch a business class fare dip before it disappears.