James stopped by the law firm of Schwake Zielinski, L.L.P. -- where they just happened to be smack in the middle of Thirsty Thursdays.
Attorney Brad Zielinski told TMZ he was shocked when Jesse arrived, and his only connection to the firm is that Jesse bought a truck from one of Brad's friends.
The subject matter -- trucks. Jesse didn't drink, stayed a short time and left.
TMZ broke the story that Sandra Bullock filed divorce papers in Austin last month ... using initials instead of full names to keep the papers under the radar.