Inside the meeting, Aung San Suu Kyi told Pence about her government's official Commission of Inquiry and said its members have a broad scope of authority to pursue justice, according to the US official.
"The violence and persecution by military and vigilantes that resulted in driving 700,000 Rohingya to Bangladesh is without excuse", he told Suu Kyi.
The White House official said Pence urged Suu Kyi directly to pardon the Reuters journalists "multiple times".
Pence and Suu Kyi met on the sidelines of the annual summit of the Association of Southeast Asian Nations in Singapore.
Aung San Suu Kyi has been stripped of Amnesty International's highest honor in light of her "shameful betrayal of the values she once stood for", the UK-based rights group announced Tuesday. Therefore, Aung San Suu Kyi is the best hope in delivering a new Myanmar that focuses on democracy, developing the infrastructure, modernity, and other important areas. "I'm sure you will say the same of yours, that you understand your own country better than anybody else".
Dozens of Rohingya Muslim families have escaped from refugee camps in Bangladesh to avoid being repatriated to Myanmar, Reuters and local Bangladeshi newspapers report.
Bangladesh has said that it would not force anyone to return and has asked UNHCR to verify whether those on the list are willing to go back to Myanmar.
More than 723,000 Rohingya have fled state-sponsored violence against their communities since August 2017. The United Nations and other global organisations have been clear that conditions for the Rohingya to return to Burma have not yet been met. Violence and impunity persist in Rakhine and refugees continue to flee Burma.
Later this evening Ms Ardern meets China's Premier Li, with whom she plans to raise the renegotiation of the NZ-China Free Trade Agreement, as well as human rights and security issues in the South China Sea.
The UN human rights chief says Bangladesh's Government should halt plans to repatriate more than 2,200 Rohingya Muslims to Myanmar, saying such a move would endanger their lives.
After the meeting, senior USA administration officials said Pence and Suu Kyi had discussed the importance of having Rohingya return home, but only on a voluntary basis, with safety and dignity.
Bangladesh officials remain optimistic the large-scale refugee returns will start as planned Thursday.
Bangladesh and Myanmar agreed in late October to begin the repatriation of hundreds of thousands of Rohingya refugees, even though the United Nations' refugee agency and aid groups say doubts persist about safety in Myanmar.
"We are witnessing terror and panic among those Rohingya refugees in Cox's Bazar who are at imminent risk of being returned to Myanmar against their will", Michelle...
Canada is raising concerns over reports that Rohingya refugees will soon return to Myanmar - the country in which they have been targets of what has been officially declared a genocide.
The US has accused the military of ethnic cleansing against the Rohingya, a Muslim minority who are widely reviled in Buddhist-majority Myanmar.