The rescue mission is expected to resume Tuesday morning local time to bring out the remainder of the team.
Nearly all of the rescued were flown in helicopters, then driven in ambulances to a Chiang Rai hospital.
The divers and medic were taken by ambulance to a hospital in Chiang Rai to be examined as a precaution, officials said. They were given a treat on Tuesday: bread with chocolate spread that they had requested.
A dozen team members ranging in age from 11 to 16 and their coach became trapped on June 23 while exploring Tham Luang cave complex in the northern province of Chiang Rai after a soccer practice.
Rescue workers wearing protection suits wait for some of the rescued schoolboys at military airport in Chiang Rai on Monday.
He also told reporters that the first four boys who were rescued are now able to eat normal food.
According to Reuters, the children - they have low body temperatures and two have lung infections -will remain quarantined in a hospital for the next week to undergo testing.
"I am very happy about those who already made it out and I think everyone will be out today", said Waranchit Karnkaew, 14, who also said the football-mad boys had been closely following games at the World Cup in Russian Federation before they were trapped. "Everyone is in high spirits and is happy to get out".
Overall they were feeling better, with no fever, and were getting around on their own and smiling.
Celebrations that the mission was completed successfully are likely to be tinged with sadness over the loss of a former Thai navy diver who died last Friday while on a re-supply mission inside the cave in support of the rescue.
The rescued boys had not been identified out of respect for the families whose sons were still trapped, officials had said.
Underscoring the danger behind the mission, Ivan Karadzic said, "They are diving in something considered an extremely hazardous environment".
The guided escape was stressful, and Thai Prime Minister Prayuth Chan-ocha said the boys were given an anti-anxiety medication to help calm their nerves.
Four people were then rescued from the caves in the first rescue stage, before being taken straight to hospital.
The world's media had initially been stationed outside the cave before they were moved 3km away to help clear the path for rescuers and emergency services.
"Mini-sub is ready if needed".
But against all odds, the rescue team was successful in extracting the group.