"I've never seen such injuries outside of a textbook in more than 20 years of my career", Lee Cook-jong, the surgeon in charge of the soldier, said at a media briefing.
Yun's visit closely follows US President Donald Trump's state visit here last week, where he addressed North Korea's nuclear ambitions and its threats to regional security.
Seoul's unification ministry said that the level of North Korea's denunciation softened compared with its immediate condemnation back in 2014 when Trump's predecessor Barack Obama visited Seoul.
The soldier was found on the south side of the border village of Panmunjom, about 50 meters south of the Military Demarcation Line, wounded in his shoulder and elbow, according to a SouthKorean defense ministry official.
The Trump administration's plan to show a united front against North Korea in the Sea of Japan took a step back this week as South Korea rejected a USA proposal to conduct a trilateral military exercise that would have included participation from Japan.
In a statement, the Joint Chiefs of Staff (JCS) said: "The US Navy mobilised three aircraft carriers and 11 Aegis destroyers, while the Republic of Korea Navy mobilised seven warships including two Aegis destroyers".
The official said the South's soldiers heard a gunshot and then retrieved the unarmed and bleeding soldier in the mid-afternoon. It is located inside the 4-kilometer-wide (2 1/2-mile-wide) Demilitarized Zone, which forms the de facto border between the Koreas since the Korean War.
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The JSA is a small strip of land on the border between the Koreas where troops from both sides stand face-to-face.
The man later told investigators that he believed his trip to North Korea would help resolve tensions on the Korean Peninsula, according to South Korea's military.
The special representative for North Korea policy of the State Department also met with Choe Sun-hui, head of the North Korean Foreign Ministry's North America bureau earlier this year in Oslo and has been making full-fledged efforts to persuade the US Congress to revive talks with North Korea. The attack prompted Washington to fly nuclear-capable B-52 bombers toward the DMZ in an attempt to intimidate North Korea.
Two North Korean soldiers came over to the South in June after crossing the frontier.
Three enormous aircraft carriers, the USS Ronald Reagan, USS Theodore Roosevelt and USS Nimitz, are pictured alongside their strike forces and a range of fighter jets as the vessels patrol the seas off the North Korean coast.
About 30,000 North Koreans have fled the country since the Korean War ended in 1953.
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