The assurance came during a meeting between Shah and Sangma, who, along with Deputy Chief Minister Prestone Tynsong, discussed border security concerns related to the India-Bangladesh border.
The development comes a day after India scaled back its diplomatic presence and repatriated non-essential staff.
This comes two days after Sheikh Hasina resigned as Bangladesh's prime minister and fled to India amid nationwide protests against her Awami League-led government.
However, all diplomats remain at their posts, ensuring that the High Commission continues to function despite the ongoing crisis.
Ramdev also applauded the Opposition for standing behind the Indian government as it deals with the crisis in Bangladesh.
In his Rajya Sabha address, the External Affairs Minister provided key details about the developments leading to Bangladeshi Prime Minister's resignation.
The Indian government is providing Sheikh Hasina with all the necessary support while she plans her next course of action.
During the meeting, Jaishankar updated the leaders on the unfolding events in Dhaka and outlined India's strategic response.
Prime Minister Narendra Modi calls CCS meeting as New Delhi prepares response.
Bangaladeshi Army chief General Waker-Us-Zaman said in a televised address that Hasina 76, had left the country and that an interim government would be formed.
