When Ricardo G. Cedillo, a partner at San Antonio’s Davis, Cedillo & Mendoza Inc., goes to trial, the operation is an endurance test for him and his colleagues. When he recently represented a Mexican company in a contract claim against Wal-Mart Stores Inc. and one of its subsidiaries, his team took over an entire floor of a motel near the San Antonio courthouse and held a post-mortem every day of the trial.

“Frequently, we would be up at 2 to 3 a.m. trying to develop graphics to counter what was said that day in trial,” Mr. Cedillo recalls. “Then we would have our first meeting at 5:30 a.m.”