On page 188 of the 5D MkIII instruction manual, it states "This camera is a type A camera that can use all the features of EX-series Speedlites". Curiously though, the system map on page 356 shows 270EX II, 320EX, 430 EX II and 600EX Speedlites but not 580EX or 580EX II speedlites. Maybe Canon just wants to promote the new 600 over the 580. I can't imagine that the 580EX/EXII Speedlites wouldn't work.