Dr Teo Li Tserng, Chief of Trauma and Acute Care Surgery at Singapore's Tan Tock Seng Hospital, was flown in to assist the local team.
Tragically, Pang passed away last night.
An independent inquiry will investigate the circumstances leading to his death.
"Despite surgical attempts to repair damaged organs and putting him on artificial life support, CFC (NS) Pang succumbed to the injuries and passed away," the Singapore Ministry of Defence said in an official statement.
Singapore has a policy of mandatory conscription of young men into the armed forces, police force or civil defence force.
Distraught fans took to social media to criticise the policy after news of Pang's death.
Pang started out as a child actor and starred in various TV shows and movies.
Pang's family shared their grief on his Instagram account this morning, writing: "Throughout the past few days in the hospital, it has been a difficult time for us. Every news that were brought upon us since his last op was devastating, with little signs of hope on his recovery."
"We all broke down when the medical team spoke to us that his condition is worsening and we should be prepared for the worst. We're going to lose a brother. And my parents are going to lose their precious son whom is only 28. Thus I seek everybody's kind understanding that we are unable to comment further during these precarious time."
The New Zealand Defence Force said its soldiers were not involved when the incident occurred.
"The soldier was taking part in Exercise Thunder Warrior which is an annual live-firing exercise held in Waiouru," a Defence spokeswoman said.
"The New Zealand Defence Force hosts Exercise Thunder Warrior and provides administrative support and liaison officers but was not taking part in this year's exercise."
