Nearly 3,000 migrants have swum to shore or been rescued off Indonesia, Malaysia and Thailand over the past week, with thousands more believed to be drifting on boats without food or water.
The three governments have sparked international outrage for driving away some of the migrant boats, who are believed to have been deserted by human trafficking rings after a Thai crackdown.
"It is not a crisis that can be solved by a single state. It's a collective responsibility," Bernard Kerblat, the country representative of the UNHCR, told AFP after meeting with de Lima.
President Benigno Aquino's spokesman also said the Philippines was open to helping the refugees.
"As the only predominantly Catholic nation in Southeast Asia, it is our duty to provide succour to those in need," presidential spokesman Herminio Coloma told AFP.
The Rohingya are a Muslim minority group in predominantly Buddhist Myanmar, where they have no legal rights, making them a target for human traffickers. Up to 1.3 million live in the western Rakhine state.
Malaysia and Thailand have called on Myanmar to stem the flow of the Rohingya but Myanmar has refused to take responsiblity, claiming the group is composed of illegal immigrants from Bangladesh.
Kerblat said the Philippines and Myanmar have been invited to attend a conference on the crisis to be hosted by Thailand on May 29, but both countries had yet to confirm their attendance.
Bangladesh, Indonesia, Laos, Malaysia, Vietnam, Australia and the United States are among 15 other governments that are attending the meeting, he said, describing it as a "step in the right direction".
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