Two policemen were deployed at the house after her parents sought security for her.
Her father Imran Mirza said autograph hunters created disturbances Wednesday night, forcing them to approach Hyderabad Police Commissioner V. Dinesh Reddy.
"The autograph hunters are constantly after her," Imran said.
Sania, who is undergoing treatment for an ankle injury, is taking rest at home.
The 18-year-old, who became the first Indian to win a WTA title Saturday, has opted out of the Qatar Open beginning Feb 21, due to the injury. She was given a wild card for the event.