However, continuous rains have frustrated attempts to clear the passageways, with the water remaining at a steady level.
The Prime Minister's Office says Prime Minister Prayuth Chan-ocha "wishes to thank the tremendous efforts of all global units that have come to assist the Thai authorities in rescuing the youth football team that was stuck in the caves in Chiang Rai".
Rescue experts have suggested the safest option would be to supply the children and their coach with food and medical supplies and wait for the water level to subside, which could take weeks or even months, but the expected heavy rainfall could complicate the equation.
"Diving is not easy", Interior Minister Anupong Paojinda said in Bangkok on Tuesday.
"I know, I understand.no, not today".
On Monday, twelve missing soccer players and their coach were finally found by a rescue team after being stuck for nine days inside the Tham Luang Nang Non cave in Chiang Rai, a province in the north of Thailand. "We are the first", the rescuers reply.
The governor said that requests had been made to build "infrastructure" in the cave leading to the pocket where the teenagers and their coach are located.
Cade Courtley, a former US Navy SEAL and author of the "SEAL Survival Guide" told CNN that he "was part of a very special dive unit and this would be a challenging dive for me and my team... now you're going to ask 11 to 15-year-olds - some of whom can not swim - to make that same journey for the first time breathing air underwater?"
The two British volunteer rescue divers who found a Thai soccer team trapped in a flooded cave network are well acquainted with harrowing rescue attempts.
In this July 3, 2018, image taken from video provided by the Royal Thai Navy Facebook Page, a Thai boy smiles as Thai Navy SEAL medic help injured children inside a cave in Mae Sai, northern Thailand.
The boys are seen by torchlight sitting on a ledge above water, responding to the divers that all 13 were there and that they were very hungry.
Having been underground for so long, it appears that the group were confused as to what day it was. Many people are coming. One flooded area they said was about 5,000 feet long and half of it had no airspace to emerge to if something went wrong underwater.
The search for the group had gripped the nation as it was unclear where they were or whether they were even still alive.
Prime Minister Prayuth Chan-ocha thanked the worldwide experts and rescuers.
One Thai twitter user said that he was "crying in (a) taxi" at the news.
The boys, aged between 11 and 16, and their 25-year-old coach went missing on June 23.
They were found on a rock shelf about 4km from the mouth of the cave.
Zalmanov said Maxtech had managed to set up a wireless communication system in "almost no time" upon reaching the site.
Both men have been honored for their previous rescue work.
In a heartening message to families waiting in outside the cave, footage was released by the Thai Navy SEAL featuring 11 of the 12-strong team.
The Tham Luang cave complex is regularly flooded during the rainy season which lasts until September or October.
But experts have cautioned that taking inexperienced divers through the unsafe corridors of muddy, zero-visibility waters would be very risky.
Other teams are still scouring the mountainside in the hope of finding another way into the cave.
Rescuers are trying to figure out how to free a dozen teen boys and their coach from a Thailand cave, which officials say could take months.
By late on Tuesday, about 120 million litres of water had been pumped out, or about 1.6 million every hour.
While they were in relatively good shape, some of them complained of being weak from stress and lack of food while others suffered from minor injuries.