Mogherini and Wang Yi will attend the Asia-Europe Meeting in Myanmar on Monday and Tuesday.
Foreign Minister Wang Yi met in Burma's capital, Naypyitaw, with the country's leader, Aung San Suu Kyi, as well as its president, Htin Kyaw, and its powerful military chief, Min Aung Hlaing. The steps included a cease-fire, repatriation of refugees and talks on a long-term solution.
"Because [the Rohingya issue] is something happening in Asia, Japan needs to show leadership in various ways", Kono told reporters after completing his official itinerary in Bangladesh.
Burmese state media said the meeting was being attended by senior officials of the ASEAN Secretariat, 28 member countries of the European Union, two non-EU member countries, 10 member countries of ASEAN, 11 countries of Northeast and South Asia, totalling 51 countries.
The crisis in Myanmar has hurt the country's image shortly after a democratic opening spurred a wave of interest from foreign companies.
Asked whether Myanmar has accepted the ceasefire as per the first phase of China's proposal, Lu said Wang's plan focusses not only on the immediate problem but also on the long term fundamental solution to the issue.
Ms Suu Kyi, a Nobel laureate and former political prisoner, has rejected widespread accusations that she hasn't done enough to protect the Rohingya.
But her optimistic tone appeared sharply at odds with the realities on the ground in a crisis that has seen 620,000 Rohingya flee rape, murder and arson in Myanmar's Rakhine state since late August.
In an online exchange with journalists, Locsin said the Philippines should have abstained on the UN resolution "in deference to the Muslim and non-Muslim member states of ASEAN (Association of Southeast Asian Nations)". It remains unclear what mediating role China might play.
In a statement, Bangladesh's foreign ministry said Mr Wang had "acknowledged Bangladesh is facing the brunt" of Rohingya refugees from Myanmar and pledged that China would continue providing humanitarian assistance to help Dhaka deal with the crisis.
The draft resolution of the UN General Assembly's Third Committee called on Myanmar to "end the ongoing military operations that have fueled tensions among the communities and have led to the systematic violation and abuse of human rights of persons belonging to the Rohingya community and other ethnic minorities, and to hold perpetrators accountable".
Last week, the International Monetary Fund predicted a rebound in Myanmar's economic growth to 6.7% in 2017-18.
Stressing that poverty is the root cause of turbulence and conflict, Wang called on the global community to support poverty alleviation efforts in Rakhine state.
The statement added Wang stressed the "importance of continued consultations and dialogue between Bangladesh and Myanmar on the issue". According to Bangladeshi Foreign Minister Abul Hasan Mahmood Ali, around 3,000 Rohingya have been killed in the crackdown.