Only one other trader, Agrocorp International, competed for the tender from the Directorate General of Food, quoting $251.45 a tonne, including CIF liner out, meaning the price includes shipping, insurance and discharge costs.
Sunday's offers were lower than those received in the three previous wheat tenders this year. Participation in the tenders remained low despite the relatively thin level of buying interest in international grain markets.
Apart from government purchases, private traders import about 5 million tonnes of wheat annually to meet growing demand, while the country's output has stagnated at about 1 million tonnes.
Another tender from the state grains buyer for a similar quantity of milling wheat will close on Aug. 17 as part of efforts to shore up reserves.
Bangladesh, the world's fourth-biggest rice producer, has also become a major importer of rice as well as wheat this year after flash floods in April hit domestic output. As a result, the country is facing dwindling rice stocks and high local prices.