Another project under discussion is South Korean participation in the Alaska liquefied natural gas project, a long-stalled pipeline and export scheme championed by Trump.
The Alaska LNG development, estimated to be worth $50 billion, would transport gas drilled from northern Alaska via a 1,300-km (807-mile) pipeline to Nikiski for export to Asian countries.
South Korea has approached the plan cautiously, and Industry Minister Kim told parliament last November that Alaska LNG was a "high-risk business".
South Korean media has said Seoul has sought to include the project in the investment memorandum without a binding commitment.
Lawmakers said participation remains under discussion and no decision has been made.
Another potential investment concerns Washington seeking South Korean support on reprocessing spent nuclear fuel, according to ruling party lawmaker Yoon Hu-duk.
Washington has proposed a project involving processing 4,000 tons of spent nuclear fuel, the lawmaker said.
The US is linking this to South Korea's push to build nuclear-powered submarines and secure fuel, Yonhap said.
At a leaders' summit last November, the two countries agreed on a joint factsheet in which Washington approved South Korean plans to build a nuclear-powered submarine and to work closely with Seoul on fuel procurement.
Another potential project involves carbon capture, utilisation and storage (CCUS), according to Yoon.
This is an area where major US energy firms have already attracted large-scale investment.