The prime minister also sent her a message of felicitation.
Manmohan Singh called her up Sunday evening to convey his good wishes and also “wished her and the people of Bangladesh all success in the endeavour to strengthen democratic institutions in Bangladesh”, said a statement.
The prime minister “conveyed that India attaches the highest importance to its relationship with Bangladesh and expressed the hope that bilateral cooperation will be further broadened and strengthened in the coming months”.
Hasina was sworn-in as prime minister for the third time along with a 48-member cabinet.
Her Awami League party won the Jan 5 parliamentary elections, which were boycotted by the opposition parties.