Lee Chang-yang, minister of trade, industry and energy, made the request during a meeting with his Vietnamese counterpart, Nguyen Hong Dien, who is in Seoul for a four-day visit as part of an 18-member delegation.
Under a long-term national power plan, the Vietnamese government is pushing for gas-fired power plant projects as part of efforts to achieve a net-zero goal by 2050 and to improve its energy self-sufficiency.
Lee also stressed the need to expand bilateral trade and investment and to boost cooperation on supply chains to better respond to fast-changing international trade circumstances.
"The two sides agreed to strengthen ties in terms of regional trade and the establishment of a new trade order through the Regional Comprehensive Economic Partnership (RCEP) and the Indo-Pacific Economic Framework (IPEF)," the ministry said in a release.
The mega trade pact of the RCEP has 15 members, including South Korea, China, Japan and the 10 ASEAN nations.
South Korea and Vietnam also participated in the U.S.-led IPEF, which involves 14 nations.
Vietnam is South Korea's No. 1 trading partner among the ASEAN nations, with the bilateral trade volume standing at US$80.7 billion in 2021, South Korea's government data showed.
ASEAN comprises Brunei, Cambodia, Indonesia, Laos, Malaysia, Myanmar, the Philippines, Thailand, Singapore and Vietnam.