Combating terrorism in the region will be another important theme.
New Delhi is expected to press Dhaka to deport anti-India insurgents like United Liberation Front of Asom (ULFA) chief Anup Chetia who are said to be in Bangladesh.
India is optimistic that the Sheikh Hasina government, which is not dependent on political support from hardline Islamist parties as the previous regime was, will take credible action in this regard.
Moni's trip comes at a time when India's relationship with Bangladesh, beset by years of mistrust over Dhaka's alleged patronage of anti-India insurgents and widening trade deficit, is showing signs of improvement.
Moni is likely to press for more trade concessions from New Delhi when she meets Mukherjee. The widening trade deficit has been a sore point with Dhaka.
When Mukherjee visited Dhaka in February 2009, he announced important unilateral initiatives like providing duty-free access to eight million pieces of ready garments, lifting a ban on the foreign direct investment (FDI) in Bangladesh and duty-free access to several items from Bangladesh.
Dhaka is keen that New Delhi further removes trade barriers that could enable it to step up exports to India's seven landlocked northeastern states.