China's Foreign Minister Wang Yi attends the 13th Asia Europe Foreign Ministers Meeting in Naypyitaw on Monday.
While State Department spokeswoman Heather Nauert said last month that the USA was assessing economic options available to target individuals associated with any atrocities, Secretary of State Rex Tillerson said on a visit to Myanmar last week that the introduction of broad-based economic sanctions at this time wouldn't help resolve the crisis.
He said Beijing was willing to facilitate the dialogue, acknowledging that the Rohingya crisis was a "big challenge for Bangladesh".
After the meeting, Kono visited a Rohingya refugee camp in Cox's Bazar by helicopter and spent about 40 minutes inspecting the refugees' living environment and global organizations' relief efforts.
A day earlier in the Bangladeshi capital of Dhaka, Wang said the crisis was a complex situation that needed a comprehensive solution.
The third phase is to find a long-term solution, he was quoted as saying by state-run Xinhua news agency.
Speaking at an event held at George Mason University in Virginia on Friday, Robert Marro, who runs a USA -based non-governmental Burma (Myanmar) Task Force, said everyone has to be informed about the injustices in Rakhine State in order to stop "genocide".
The group behind those attacks, Arakan Rohingya Salvation Army (ARSA), had declared a one-month ceasefire on 10 September, which was rejected by the government.
Video Why Rohingya crisis is not called genocide
Visiting Burma last week, U.S. Secretary of State Rex Tillerson condemned ARSA's attacks, and voiced support for Burma's transition to democracy under the civilian administration led by Nobel Peace prize victor Aung San Suu Kyi.
Federica Mogherin said she will discuss with the Myanmar leadership at different levels on the Rohingya repatriation.
The Japanese government has already extended about ¥1.2 billion in emergency humanitarian aid to Myanmar to support Royingya that remain in the country.
Meetings of the leaders of those 51 countries and of their foreign ministers are held every two years, with the meetings held in alternate years.
"I am very encouraged by the willingness and readiness of the state counselor to go in that direction", she said.
"The proposal underlines China's increasing willingness to step in and play a role in regional hotspot issues, in a break from its generally cautious diplomacy over the past decade".
Since the Rohingya crisis, China has repeatedly expressed support for what it calls the Burmese government's efforts to protect stability.
Wang is the first high-ranking Chinese official to meet the government led by Daw Aung San Suu Kyi's National League for Democracy since it was sworn in on March 30, 2016, ending more than half of a century of military domination.
The host country's de facto leader Aung San Suu Kyi will inaugurate the Asia-Europe Meeting (ASEM), in which the Association of Southeast Asian Nations (Asean) and the European Union (EU) will participate, reports Efe news.
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Slovak capital Bratislava, the leading contender in ex-communist eastern Europe , came in fourth in the first round of voting. Copenhagen finished third, ahead of Bratislava in the vote involving European Union nations excluding Britain.