According to this interesting article, an alligator and a burmese python were involved in a deadly fight on a golf course in Naples, Florida. Here are some photos of that fight.
It looks like the gator won in the end, since the python's head was inside the gator's mouth. It has to be noted that while alligators are native to Florida, Burmese python is an invasive specie. I think the pythons in Florida are mostly pets which were released by their owners.