Holbrooke said the US needed the "help of friends like Bangladesh" to ensure security in Afghanistan, according to a government statement released in Dhaka.
"He sought for any kind of help like deploying combat troops, providing economic and development assistance or giving training among the law enforcement agencies," it said.
Moni said the government would consider the request.
Muslim-majority Bangladesh is a major contributor to United Nations peacekeeping missions around the world, but has no troops in Afghanistan.
Source: AFP South Asian Edition