How do you contact southwest customer service? Call Southwest Airlines' customer service line, 1-800-I-FLY-SWA (800-435-9792), for reservations, baggage information or general questions. Spanish-speaking customers may call 800-VAMONOS (800-826-6667) for assistance.What is the phone number for southwest airlines customer service? Southwest Airlines Customer Relations Phone Number: 214-932-0333. If you are looking information for customer relations just press 1. Or if you are looking information for Rapid Rewards just press 2. If you are like to know your extension please press 3 now.How do you contact southwest airlines? Southwest Airlines Contact Info: Phone Number/s. 1-800-I-FLY-SWA or 1-800-435-9792. Rapid Rewards Customer Service – 1-800-445-5764. If you left an item at a TSA Checkpoint – 1-866-289-9673. Automated Flight Information – 1-888-792-8747.
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