However, there was no one-on-one meeting between Khaleda Zia and Sushma Swaraj unlike their last meeting in 2014.
India is deeply concerned at the spate of violence in the Rakhine State of Myanmar.
"We are both determined to protect our societies from the threat of ideologies of hate, violence and terror by adopting a zero tolerance policy and a comprehensive approach in fighting violent extremism and terrorism at all levels", she said.
Swaraj, who arrived on a special Indian aircraft, was received by her Bangladesh counterpart AH Mahmud Ali at the Bangabandhu Air Base in Dhaka.
It is clear that normalcy will only be restored with the return of the displaced persons to Rakhine state.
Swaraj's comments are key given that in September India had said that it shared Myanmar's concerns over "extremist violence" in Rakhine state during a visit by Prime Minister Narendra Modi to that country.
Chelsea boss Antonio Conte admits sacking a possibility
Cesar Azpilicueta and Thibaut Courtois have played every minute of Chelsea's Premier League campaign so far. Stuttering Cahill added: "I think we have to look at the amount of games we are playing as a help".
"Our relations are based on fraternal ties and are reflective of an all-encompassing partnership based on sovereignty, equality, trust and understanding that goes far beyond a strategic partnership", she said.
"India attaches the utmost importance to its relation with Bangladesh as our partnership today touches upon virtually over all the areas of human endeavour", she added.
Bangladesh has sought India's "sustained pressures" on Myanmar for resolution of the crisis.
This is Swaraj's second visit to Bangladesh and comes after the recent trip of Finance Minister Arun Jaitley during which India operationalised a Dollars 4.5 billion line of credit to Bangladesh to enable implementation of development projects in key areas, including power, railways, roads and shipping.
She said she had a very fruitful discussion with Bangladeshi officials on the projects under India's Line of Credit (LOC) whose implementation has been delayed. 65-year-old Swaraj was greeted by Bangladesh Foreign Minister and High Commissioner of India Harsh Shringla on her arrival in Dhaka earlier today.
Sushma said they vowed to continue to fight "this scourge together and along with other like-minded countries".