UNHCR asks Bangladesh to allow it to negotiate with the US, Canada and some European countries to resettle around 1,000 Rohingya Muslims.
Malaysia and Indonesia have vowed to turn back any boats carrying migrants that enter their waters, as the boat people crisis in the region intensifies.
Burmese refugees living in Thailand will face challenges if they are repatriated, the UN refugee agency said on Wednesday.
Film star and UNHCR special envoy Angelina Jolie visited a Karenni woman and her family at a refugee camp near the Thai-Burmese border on Friday, to mark World Refugee Day.
Burmese asylum-seekers living in Indonesia say they will continue to risk their lives and travel by boat to Australia, despite the very high chance they will never get there.