No state license. Texas does not issue a state license for foundation repair companies, so check experience, insurance, written warranties and reviews yourself, and ask whether a licensed professional engineer (PE) designs or signs off on the repair.
Engineers. An independent Texas-licensed professional engineer works for you, not the repair company. You can look up a PE's license with the Texas Board of Professional Engineers and Land Surveyors (pels.texas.gov).
Permits. Whether your repair needs a City of Tyler building permit or an engineer's plan depends on the work. Your contractor should check with Tyler Building Services (423 W. Ferguson St., 903-531-1151). Outside city limits, Texas counties generally don't issue building permits for home repairs. In other towns, check with the city's building department.
Your rights. Texas law gives you until midnight of the third business day to cancel many contracts signed at your home after a sales visit (Tex. Bus. & Com. Code §601.051). Ask whether it applies to your contract and look for the cancellation form. The Texas Deceptive Trade Practices Act protects consumers against false or misleading claims and broken warranties. Ask whether the warranty is transferable if you sell the home, whether there's a transfer fee, and what it covers.