Seville's absence of nonstop American service is the first thing worth knowing: there is no direct routing from Dallas, so booking business class from Dallas to Seville always means a connection, most efficiently through either Madrid or London. American Airlines flies its transatlantic widebodies out of DFW with its Flagship Suite product on select routes, connecting via a partner hub, while British Airways and Iberia—both members of the same joint business alongside American under the transatlantic joint venture—offer the more seamless routings, typically transiting London Heathrow or Madrid Barajas before the short hop to Seville. I've run this connection more times than I can count, and the Madrid option, using Iberia's A330 or A350 business class with its lie-flat staggered seating, tends to be smoother than the Heathrow alternative, especially given Heathrow's Terminal 5 congestion during peak summer travel.
The real insider move is timing your Madrid layover deliberately: rather than booking the tightest connection, look for itineraries with a two-to-three hour buffer, which lets you clear passport control calmly and, if your fare class qualifies, duck into the Iberia lounge in Terminal 4S for jamón and a glass of Rioja before the quick regional flight down to Andalusia. British Airways' Club Suite, with its sliding door and direct aisle access, is worth angling for on the Heathrow routing if your dates allow a same-day connection rather than an overnight, since Seville's evening arrivals are limited and a missed connection there means waiting until the next morning.
April, May, September, and October are the sweet spot for this itinerary—shoulder season in Andalusia means comfortable weather for wandering the Alcázar and avoiding the brutal summer heat, while airfare from Dallas softens as post-summer demand cools. Given how fare classes on this Madrid or London connection fluctuate week to week, setting up automated price tracking for Dallas–Seville business class is the smartest way to catch a premium-cabin release before it disappears.