President Gabriel Boric told the nation in a televised address, "The situation is really very difficult."
Maintenance men were able to save the man's life, putting the fire out with a hose before emergency services arrived.
All 379 passengers and crew on board the Japan Airlines flight were evacuated, but five of the six aboard the Coast Guard plane with which it collided are reported killed.
An official said pipes at the entrance of unit 3 of the refinery caught fire. He did not say what caused the pipes to catch fire.
Israeli fire and rescue services put out a fire caused by a crashed drone in northern Israel.
Iranian officials received an order to evacuate a nearby factory as firefighting forces continued to battle the flames.