No purchase has yet been reported and the offers are still being considered.
The offer was submitted by trading house J.K. International, they said. It was for optional origin wheat possibly sourced from either the United States, Canada, Russia or Ukraine.
The price includes shipping, insurance and ship unloading costs.
Three other offers were submitted in the tender, all on the same C&F liner out terms. Trading house Swiss Singapore Overseas offered $280.41 a tonne for optional origin wheat, Aston offered $282.37 a tonne for Russian wheat and Atri Trading offered $279.65 a tonne, also for Russian wheat.
All the offers were for the full 50,000 tonnes.
Wheat with 12.5 percent protein content was sought for shipment 40 days after contract signing, traders said.
The tender had sought wheat from any country except from Israel.
A report from the United Nation's Food and Agriculture Organization (FAO) in December had estimated Bangladesh's wheat import requirements in the current 2018/19 season at a record of around 6 million tonnes, 34 percent above the previous five-year average following steady increases since 2012/13.
The strong demand for wheat reflects a shift in consumers' diet preferences towards bread as well as the increased use of wheat as a substitute for more expensive rice, the FAO said.
In Bangladesh's last wheat purchase reported on Feb. 19, trading house Agrocorp won a tender to supply 50,000 tonnes after submitting the lowest offer of $294.95 a tonne CIF liner out.
Another tender from Bangladesh for 50,000 tonnes of wheat closes on March 13.