A senior presidential official told reporters Monday Moon revealed he had passed on a booklet and a flash drive containing a video clip on his "new economic map for the Korean Peninsula" to Kim, during their summit on Friday.
Moon's envisioned economic roadmap for the South and North has been one of his key campaign pledges, which he promised to develop during his speech in Germany last year.
In his speech, the South Korean president said he aims to establish an economic belt and an economic community "where the two Koreas prosper together."
The vision includes reconnecting the severed inter-Korean railway -- not only from the South to the North, but extending it to China, Russia and Europe.
He also aims to launch cooperative projects in Northeast Asia, such as connecting gas pipes through the Koreas and Russia.
The South Korean leader had pledged he would draw out such a map if "there is progress in the North Korean nuclear issue and if appropriate conditions are met."
There are currently numerous United Nations and independent sanctions imposed on Pyongyang over its nuclear and missile program.
Moon told his aides Monday both sides should quickly and immediately initiate areas of cooperation that aren't under global sanctions while jointly researching and preparing for economic cooperation that could take place after sanctions are lifted.
South Korea's economy is currently 22 times the size of the North Korea's, in terms of gross national income.
Per-capita GNI for North Koreans stood at around $1,362 in 2016, compared to the $30,000 for South Koreans, JoongAng Ilbo reported.