Bangladesh home secretary Mozammel Haque Khan made this request to his Indian counterpart Rajiv Mehrishi during the 18th home secretary-level meeting between the two countries that ended in New Delhi late on Tuesday.
A Bangladesh High Commission press release issued in Delhi said that both sides discussed issues like speedy handover of wanted criminals hiding in each other's territory.
It said that that issues of law and order along Indo-Bangladesh border and prevention of cross-border smuggling, especially of drugs also dominated the talks.
"Bangladesh called for Indian cooperation in speedy signing of the strip map of Muhurir Char," the press release said.
It said that the Bangladesh team also requested Indian authorities to allow Bangladeshi travellers to use any Indian air and land port for entry into and exit from India.