Medical teams were seen preparing first aid kits after news of the group's discovery broke outside the cave's entrance.
A pair of expert cave divers from Britain found the group about 300-400 metres past a section of the cave on higher ground that was thought to be where they might have taken shelter.
"Where are you from?" one of the rescued boys asked. Thirteen, the boys report. It was pure speculation that they could be there in one of these two rooms. We are coming. OK?
In the third phase, more food will be supplied and there will be diving sessions for the boys while authorities continue to pump more water out of the cave network. The 13 individuals have received medical treatment and food, but the question is - how can they be rescued safely? "Monday. You have been here - 10 days". "We come, ok, we come".
Although they have had no shortage of water, one of the boys is heard to say: "Eat, eat, eat, tell them we are hungry".
Divers are supplying the group with food and medicine, Thailand's Navy SEALs said on Facebook.
A group of Thai soccer players, between the ages of 11 and 16, and their 25-year-old coach hiked into the cave complex after practice 10 days ago. They entered the Tham Luang Nang Non cave system on Saturday, June 23 but became stranded in the dark tunnels by a sudden and continuous downpour.
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We have played to our best, but the players have something more to offer", said coach Akira Nishino. We will see at the end what happens", he told reporters on Sunday.
Power and telephone lines are now being installed inside the cave so the missing youths can speak with their parents, Chiang Rai Governor Narongsak Osotthanakon said.
Reymenants said of those trapped in the cave and the rescue mission: "They can't swim, so they definitely can't dive..."
"I want to give him a hug".
Rescuers are now battling rising water to bring more supplies to the group.
He said there was no rush to bring them out as they are safe where they are. So far we just found them.
The British Cave Rescue Council, which has members taking part in the operation, said in a statement that "although water levels have dropped, the diving conditions remain hard and any attempt to dive the boys and their coach out will not be taken lightly because there are significant technical challenges and risks to consider".
The briefing warns, however, that the danger has not abated.
According to the Associated Press, rescuers drilled a hole into the side of the cave to try to drain the water, while others attempted to find alternative routes inside. Experts in caving and diving needed days to reach the boys. "They have got no visual reference", he said. A doctor, a nurse, and Navy SEALs are now keeping them company. He said the boys were in relatively good condition. They must be able to use diving gear.
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"They'll need fluids replacing (and) possibly feeding". "They're going to have to have some kind of backup plan for that contingency". And sensory faculties won't be what they should be. "I'm not sure they can eat as they have not eaten for a while".
Even after that, the kids and their coach may need to dive to get out of the cave, Moret added.
Mr Allum told RN Breakfast that panic could set in when the boys dive into the strong currents of the floodwaters and feel they're out of control. We have to wait for the water level to decline.
Many had been posting cartoons of the rescue attempts, and by Tuesday the drawings had changed into pictures of gratitude. Thai authorities called on them to help.
"Thank you all Thais, thank you all foreigners, everybody is a hero and everybody helped each other", Prime Minister Prayuth Chan-ocha told reporters.
"This incident has shown the unity of the Thai people..."
"As rain is forecast in the next few days, the evacuation must speed up".
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Moody's said in a note: "The outcome of Sunday's elections leaves Mexico at an uncertain, and potentially critical, juncture". He has also promised to increase spending on social programs while keeping government spending under control.