The four young soccer players rescued from a Thai cave Sunday included the team’s goalie and a boy who didn’t even play with them but joined the group that day to be with his pal.

Officials identified the rescued boys as Mongkol Boonpiam, 13, Nattawut Thakamsong and Prajak Sutham, both 14 and Pipat Bodhi, 15, according to reports.

The four kids were taken out first because they were the weakest in terms of health, officials said. The 12 boys and their coach became trapped in the murky cave more than two weeks ago.

Boonpiam, a seventh-grader, was the first to emerge from the cave aided by divers because he was the worst off, local media reported.

In a letter he had written to his mom while still trapped in the cave, the boy said, “Mum are you at home? How are you?

“Please tell my teacher that I am OK. I love you mum.’’

Thakamsong, who suffers from asthma, is his parents’ darling, after they lost their firstborn child to cancer at 10 months old, according to reports.

“Even though he is 14, the father takes him to school, and the mother picks him up — always,” a teacher told the Daily Mail.

The teen’s grandmother, Wankaew Pakhumma, prayed daily at a shrine in their home that her grandson would return safely.

The family has said it planned to throw him a party when he made it out.

Sutham, the team’s goalie, is an eighth-grader who has played the sport for two years. He is known for prominently displaying his many medals at home in Mae Sai, according to reports.

When rescue divers carried the written notes from the boys to their families Saturday, Sutham asked in his letter how his mother was doing.

As for his grandmother, she told him in her letter, “Grandma loves you the most in the whole world. I miss you dearly. I thank every country, everyone helping the kids to get out.”

Bodhi got a belated birthday present in the way of his freedom.

The teen turned 15 the day everyone was lost in the cave, CNN reported.

In fact, he wasn’t even supposed to be there.

Bodhi was not a member of the Wild Boars soccer club — rather he tagged along on the cave trek to be with a friend who is on the team.

According to the Daily Beast, there was a different boy among those rescued: Peerapat Lompiangcha, who also has been called Pheeraphat Sompiengjai. He turned 16 while underground.

His sister, Phunphatsa Lompiangcha, has said she is saving the birthday cake the family had bought — frosted yellow, with a smiling cartoon character — “to surprise him” when he gets home.

The boy’s parents have slept at the cave’s entrance every night since he went missing, his sister told CNN.

The boys’ rescue was treacherous, as pairs of expert divers Sunday escorted them out of the flooded and labyrinthine Tham Luang cave system one by one. They and their teammates had been trapped by flood waters deep inside the cave since June 23.

Eight other kids and their 25-year-old coach still remain trapped thousands of feet underground.

Officials had to pause rescue operations late Sunday for at least 10 hours while they replenished spent air tanks scattered across the cave’s exit route.

But news of Sunday’s rescues inspired hope among folks in the nearby town of Mae Sai, where the kids’ soccer team is based.

“I am so happy!” Kamon Chanthapun, an adviser to the squad, told the New York Times.

“I was so worried because they are just children, stuck for so long in the dark.”

A party atmosphere erupted in the town as news came down that the rescue was underway.

Residents cheered at helicopters passed overhead and ambulances rumbled by in the streets — while young men rode around in flatbed trucks cheering, the Times reported.

With Post Wires