A large fire that broke out Sunday morning at a petrochemical storage facility near Houston continued to spread Monday morning.

The fire at the Intercontinental Terminals Co. facility in Deer Park, Texas, was initially reported around 10:30 a.m. local time Sunday, authorities said. It was still raging overnight, and Deer Park officials had ordered residents in the city of about 33,000, located about 18 miles east of Houston, to shelter in place.

Officials...