Serving for a two-set lead at 5-4, Falla faltered for the first time, but Federer was unable to take advantage, two break points slipping by before the Colombian forced his opponent off court and put away an easy volley on his fourth set point.
However, Bath's advantage had been cut to a meagre twopoints within 11 minutes of the restart as French scrum-half Yachvili coolly slotted over two penalties.