The boys, aged 11 to 16, and their 25-year-old coach went missing after entering the cave on 23 June and being trapped by rising floodwater, prompting a desperate round-the-clock search beset by torrential downpours that stopped divers going in.
The falling water level in the cave has helped the rescue effort, Chiang Rai's governor, Narongsak Osatanakorn, said on Saturday evening.
Divers are now closing in on elevated dry area, called Pattaya Beach, where they believe the missing boys may have taken refuge in the Tham Luang Nang Non cave system.
One of the boys replies that he is hungry, while another boy says to the rescuers, "Thank you so much".
"If the doctors say their physical condition is strong enough to be moved, they will take them out from the cave", he continued.
"We will drain all water out from the cave then we will take all 13 people out of the cave". We are now planning how to send nurse and doctor inside the cave to check their health and movement.
The boys were reached after a huge global rescue effort, with the underground cave network having been partially flooded by monsoon rains.
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A huge worldwide rescue effort has been under way, with teams slowly making their way through thick mud and high water to try to reach the group in a network that stretches 10km (6 miles) into a mountain.
The next challenge will be getting the group out of the cave, which some have dubbed a "labyrinth".
These skilled professional divers still needed several hours to get to the trapped group from the entrance, through tiny, debris-strewn passages and aided by round-the-clock water pumping efforts to try to clear the flood waters. They were reported missing by a mother after her young son did not come home that night.
There also likely wouldn't be any living creatures native to the cave that the group could catch and eat, White said, so any food they ate would likely have been brought in with them a week ago. That also begets the question: "If the dives are hard then supply will be hard, but the risk of trying to dive them out is also exponentially greater".
"They'll need fluids replacing (and) possibly feeding". They've possibly been lying still for days now. "And sensory faculties won't be what they should be", Moret told CNN.
"One of them told me that they can barely see their hand in front of their face".
"One medic stayed behind with them", Reymenants explained.
Even though the hikers has been located, the rescue teams were not ready to extract them yet as of early Tuesday morning, local time (Monday evening, July 2 in the US).