Acknowledging that "Bangladesh and India are now enjoying better relations than ever before", Azad said the premier also urged India to "reciprocate the steps taken by Bangladesh" bettering further the friendly ties with New Delhi.
She also sought stern actions against killing of Bangladeshi nationals along the border, the spokesman said.
"She also asked India to ratify the land boundary agreement in parliament," he said.
The premier's comments came four days after Saran said New Delhi was working to solve the Teesta water sharing issue and to sign a treaty "on priority basis" as he presented his credentials to President Zillur Rahman.
"The process of signing the pending Teesta Water Treaty is underway and it will be signed soon," a presidential palace spokesman quoted him as telling Rahman at that time.
India was expected to sign a deal with Dhaka on the Teesta during Prime Minister Manmohan Singh's Dhaka visit in September last year but Dhaka visibly refused to sign the proposed transit agreement after India backed out from signing the much-expected accord on sharing the common Teesta river water at that time.