I can't speak to TX law, but RESPA only requires that you make the HUD Settlement Statement available for inspection one day before closing with the known information at that time if requested. RESPA does not require you to deliver it, only make it available. Wouldn't do much good to mail it the day before closing. If the customer requests it then we make a copy available for them to pick up.
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The opinions expressed are mine and they are not to be taken as legal advice.