They are then taken to hospital in Chiang Rai.
Officials say the quickest time that the boys could be brought out of the cave is 9pm local time (3pm United Kingdom time) on Sunday, and the mission could take up to four days. Major Saman Gunan, a former Thai Navy Seal who was volunteering for the rescue mission.
Wild Boar Academy have spent more than two weeks in the Tham Luang caves after being cut off from the exit during a visit by a sudden downpour.
"Today is D-Day", Narongsak had earlier told reporters.
On Saturday, Mr Narongsak said mild weather and falling water levels over the past few days had created optimal conditions for an evacuation that would not last if it rains heavily again.
A spokesman for Musk's Boring Co. tunneling unit, which has four engineers at the cave, said in an email Sunday that Thai officials had requested the device and that divers have determined it could potentially help the children through narrow, flooded cave passageways.
The boys were rescued using full face masks, with the first one emerging out of the cave at about 17:40 local time Sunday, followed by the second one 10 minutes later, Chiang Rai governor Narongsak Osottanakorn told a press briefing at the site after the first successful operation.
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"The teams here are happy the boys are being rescued but also anxious about the severity of the boys' conditions".
"We're thankful for the coach for being there with them, to help guide the kids through this situation, without him, they probably wouldn't have survived", said Guerrero.
Eight members of the soccer team, ages 11 to 16, and their 25-year-old coach remain trapped in the cave. They take another five hours to return in the fast-moving currents through pitch-black tunnels studded with stalactites and sharp turns.
"We have to place new oxygen tanks (along the route) as the previous ones have been used in today's operation", he noted.
Authorities in northern Chiang Rai province began the risky mission to bring out the 12 boys and their football coach earlier on Sunday.
Within minutes the boys emerged from the Tham Luang cave complex and were immediately placed into ambulances and rushed to a hospital, authorities told ABC News.
Their families have been informed and reportedly agreed with the decision to make the most of the opportunity to get the boys out before the forecasted monsoonal rain sets in. Thai navy SEALs say four of the 12 soccer team members are out of the cave.
Rescue divers found the 12 teenage soccer players and their coach alive on July 3 after they went missing in a Thai cave 10 days earlier. Authorities have brought the group high-protein gels and supplies to last for four months and have been trying to install a phone line.