"If there is an opportunity that naturally occurs, we should talk," Kang Kyung-Wha told reporters as she landed in Manila today, according to South Korea's Yonhap news agency.
North Korea's top diplomat, Ri Hong-Yo, is also attending the regional summit, which is hosted by the 10-member Association of Southeast Asian Nations (ASEAN).
The potential meetings come as the North faces intense international pressure to curtail its nuclear weapons programme.
The United Nations Security Council will vote this weekend on a US-drafted resolution to toughen sanctions against North Korea following its second intercontinental ballistic missile test on July 28.
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But the newly elected South Korean government of President Moon Jae-In is also much more open to negotiations than the previous administration run by Park Geun-Hye.
Kang, South Korea's first female foreign minister, said any meeting with Ri would be an opportunity "to deliver our desire for the North to stop its provocations and positively respond to our recent special offers (for talks) aimed at establishing a peace regime".
Tensions on the Korean peninsula often dominate the ARF because it is one of the few annual diplomatic gatherings attended by the key stakeholders: South Korea, North Korea, the United States, Russia, China and Japan.
In the run up to this year's summit, Washington had lobbied to have Pyongyang kicked out of the ARF but there is limited appetite among Asian countries to shut North Korea out of one of the few diplomatic gatherings it attends.