North Korea is likely to welcome Moon's election but its state media made no mention of his victory on Wednesday.
Prime Minister Malcolm Turnbull has confirmed Australia's commitment to security on the Korean peninsula during his first phone call with new South Korean President Moon Jae-in.
"We hope for Russian Federation to play a constructive role in order for North Korea to stop with its nuclear provocations and go the way of denuclearisation", Moon was citing as saying to Putin in the 20-minute conversation.
The shift came one day after a congratulatory conversation from Xi to Moon Jae-in, the South Korea's newly minted president on Thursday.
The North's KCNA state news agency last week accused the US Central Intelligence Agency and South Korea's National Intelligence Service (NIS) of a plot to assassinate its "supreme leadership" with a biochemical weapon.
Stangarone also added that whatever worldwide plans Moon has, the economic situation in South Korea and the fact that he was elected following an impeachment mean that domestic issues will constrain what he wants to do.
In his first speech after he was sworn in, Moon said he would immediately begin efforts to defuse security tensions on the Korean Peninsula and negotiate with Washington and Beijing to ease the THAAD row.More news: Derby winner Always Dreaming gallops smoothly for Preakness
Japan has been concerned that Moon will take a tough line on feuds stemming from its 1910-1945 colonization of the Korean Peninsula and could fray ties at a time when cooperation over North Korea is vital.
China sees the Terminal High-Altitude Area Defense system, or THAAD, as a threat to its own security and will be hoping Moon follows through on his campaign pledge to review the system's deployment if elected.
He told Chinese President Xi Jinping on Thursday the resolution of the North Korea issue "must be comprehensive and sequential, with pressure and sanctions used in parallel with negotiations".
Trump has called on Beijing to do more to rein in North Korea, while China is angry over THAAD, which it be-lieves could pose a threat to its military.
The South Korean statement said Trump said North Korea's nuclear problem was hard, but one that could be resolved.
Moon and Trump may also disagree on the USA missile defense system THAAD.
Contrary to his conservative predecessors, Moon has also expressed his desire to visit North Korea and establish a dialogue with Kim Jong Un, provided the conditions leading up to the meeting are favorable, according to a U.S. News report.