Trump vows better Russia ties, reassures Nato allies

President Donald Trump vowed Saturday to improve floundering ties with Russia in a phone call with Russian President Vladimir Putin, while also reassuring close US allies he supports Nato.

In a flurry of calls that began early in the morning and rounded out an already frantically paced week, Trump spoke with Japanese Prime Minister Shinzo Abe, German Chancellor Angela Merkel, Putin, Hollande and Australian Prime Minister Malcolm Turnbull.

Trump's friendly stance toward Putin, whom France and Germany accuse of seeking to undermine Western unity, is being scrutinised since he won the US election in November.

The White House hailed the call with Putin as a "significant start" to better US-Russia ties, while the Kremlin said the pair agreed to develop relations "as equals" and to establish "real coordination" against the Islamic State group.

Trump took office last week with US-Russia relations at new Cold War-level lows amid accusations by American intelligence agencies that the Kremlin hacked Democratic Party emails as part of a pro-Trump campaign to influence November's election.

The president -- who has raised the prospect of easing sanctions imposed against Russia after its annexation of Ukraine's Crimean Peninsula in 2014 -- has cast doubt on whether Russia meddled in the election.

In his call with Merkel, Trump agreed on Nato's "fundamental importance," the White House said.

US provides significant funding to Nato, and Trump has urged other member nations to step up their contributions.

The conversations gave the US president an early opportunity to explain new policies that have baffled and unnerved much of the rest of the world -- particularly his order to temporarily halt all refugee arrivals and those of travelers from Iran, Iraq, Libya, Somalia, Sudan, Syria and Yemen.