The last tremor to hit the town was Friday (July 3) and measured 4.1 on the Richter scale.
Italian authorities have already briefed top world leaders who have arrived for the summit about emergency evacuation plans in case of another earthquake.
Manmohan Singh will be meeting German Chancellor Angela Merkel Thursday for a bilateral meeting followed by another one with Japan's Prime Minister Taro Aso Friday. He will also meet the Angola President Jose Eduardo Dos Santos the same day.
The prime minister is likely to meet US President Barack Obama informally during the G8-G5 summit.