Chiang Rai governor Narongsak Osotthanakorn, who is in charge of the rescue mission, repeated on Wednesday that the boys and their coach would be brought out of the cave only when rescuers were confident it would be safe to do so.
"They are cave divers with experience of diving in very flooded caves all over the world and some rescue operations as well", Bill Whitehouse, the vice chairman of the British Cave Rescue Council, told ABC News of the divers who found the boys, John Volanthen and Richard Stanton.
The Thai Navy released a video on Facebook apparently showing the moment the group were found. The first thing the boys asked for when they were rescued was food and they are now being fed a high protein diet to regain their strength.
Thais across the country, who have been following every twist of the nine-day long saga, reacted to Monday night's news with joy and relief.
The boys repeatedly tell them, in Thai, that they're hungry and need food. "Thirteen, brilliant!" the diver replies - the number accounts for the entire missing party.
The search for the group had gripped the nation as it was unclear where they were or whether they were even still alive.
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. It is believed they entered the cave when it was dry and sudden heavy rains blocked the exit.
"They're 2 miles in, it's an arduous trip".
Outside the cave the mother of one of the boys teared-up as she watched the clip on a television screen, saying she was "glad" for a glimpse of her son.
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They're planning on bringing the boys out at different times, Osottanakorn said.
"Strategies have been looking at whether the boys are supported for a longer term option where they are, and Thai authorities have been looking at engineering options - whether or not they can drill down from the surface into the chamber where they are". Heavy rains sent a significant amount a water into the Tham Luang Nang Non cave, trapping them.
Experts have cautioned that taking inexperienced divers through the unsafe corridors of muddy, zero-visibility waters would be very risky.
Possibilities include attempting to pump water out of the caves, divert nearby ground water or find an alternate opening that can give them access to the team.
Experts have said that the safest option appears to be re-supplying the boys and their coach with food and water until the water level drops far enough for them to more easily swim out.
By Tuesday, the children had been assessed and deemed to be in stable medical condition, with only some minor injuries.
"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", said Whitehouse. They could not go back the way they had come because they would have had to swim through flooded passages. "And the rainy season has just started here - water levels will rise", he said.
Other teams are still scouring the mountainside in the hope of finding another way into the cave.
Relatives of the missing children share photos of them after the 12 boys and their soccer coach have been found alive in a cave They'd been missing for over a week. But that did not mean they would wait until all the water was drained out, he said.
In the tape of the encounter, one of the British rescuers asks, in English, how many were in the group.