Malmo's Sturup Airport isn't built for transatlantic arrivals, which is precisely why the routing puzzle from Tampa is so interesting for the frequent flyer willing to plan ahead. There's no nonstop option here—business class from Tampa to Malmo requires a connection, and after dozens of iterations on this itinerary, I've settled on two reliable strategies: SAS through Copenhagen, followed by a short hop or even a scenic train ride across the Öresund Bridge into Sweden, or a KLM routing via Amsterdam with a same-day connection to Malmo's compact terminal. Lufthansa via Frankfurt or Munich is the third viable path, particularly useful if your Tampa departure aligns better with their transatlantic schedule than SAS's Copenhagen bank.
SAS is the natural choice for this corridor given its Scandinavian home turf, and their A330 or A350 business class—recliner-style seats with direct aisle access on the 350—makes for a comfortable red-eye out of Tampa via a US gateway or through a European hub if TPA doesn't have direct SAS service that season (check whether your itinerary routes through Copenhagen first or requires a US connection—this varies by year). KLM's World Business Class on their 787 or A330 fleet, paired with their efficient Schiphol transfer process, is my pick for travelers who prioritize a smooth connection over legroom—Schiphol's transfer security is notably faster than Frankfurt's during summer peak. Lufthansa's Munich hub, especially since their Allegris cabin rollout began appearing on select long-haul routes, is worth checking if you can snag one of the newer configurations, though availability on this specific pairing remains inconsistent.
My insider tip: book the SAS-operated final leg into Malmo rather than accepting a codeshare booked separately, since baggage transfers and rebooking protections are stronger under a single SAS ticket, especially valuable given Sturup's limited daily flight bank. Early summer—May through September—consistently offers the softest business class fares on this Scandinavia-bound corridor, as European carriers compete for Nordic-bound leisure traffic. Given how much these fares fluctuate week to week across three different hub strategies, setting up fare alerts for this specific city pair will save you from manually rechecking three airlines every few days.