No injury or casualty was reported in the mishap.
At the time of the incident, there were very few passengers at the station, which is a heritage landmark.
The blaze erupted around 4.25 am at the food stall on platform no. 4, a fire brigade official said.
Upon getting the information, the fire brigade personnel rushed to the spot and managed to douse the flames, the official said.
"The timely action (to put off the blaze) prevented further damage to the roof of the heritage building," he said.
Bandra is one of the busiest railway stations in Mumbai.