"The Rohingya issue is a political problem and it cannot be resolved militarily," Hasina's press secretary Ihsanul Karim quoted her as saying when the newly-appointed Danish Ambassador in Dhaka Mikael Hemnid Winther called on her.
Her comments came as international rights groups including the UN refugee agency UNHCR accused Myanmar of using military force against Rohingyas, forcing them to flee to Bangladesh.
Millions of Rohingyas have been living in Bangladesh for decades after they escaped the alleged atrocities in Myanmar. Dhaka sees the refugees as an economic burden and the presence of the refugees have raised security fears in Bangladesh over Rohingya groups' suspected links with Islamist extremists.
Hasina told the envoy "I understand the problems of refugees very well", according to Karim, as she herself was in exile for six years after the assassination of her father and Bangladesh's founder Sheikh Mujibur Rahman in a 1975 coup.
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Hasina referred to the example of settling Bangladesh's Chittagong Hill Tracts insurgency in 1997 through peaceful internal negotiations, Karim said.
UNHCR chief John McKissick last week said the Myanmarese troops were "killing men, shooting them, slaughtering children, raping women, burning and looting houses, forcing these people to cross the river" into Bangladesh.
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