TOKYO — Toyota Motor Corp. is recalling 6.39 million vehicles globally for a variety of problems spanning nearly 30 models in Japan, the U.S., Europe and other places.

No injuries or crashes have been reported related to the recalls announced Wednesday. But two fires have been reported related to one of the problems, a defective engine starter that can keep the motor running.

Some vehicles were recalled for more than one problem. The recall cases total 6.76 million vehicles for 27 Toyota models, the Pontiac Vibe and the Subaru Trezia, produced from April 2004 through August 2013.

For the recall, Toyota also reported problems with seat rails, the bracket holding the steering column in place, the windshield-wiper motor and a cable attached to the air-bag module.