"I hope things work out well; I hope there's going to be peace".
Earlier on Friday, the president said the U.S. military was "locked and loaded" to deal with North Korea, should the need arise. North Korean state media reports suggest Kim Jong Un could potentially sign off on the plan at about that same time.
North Korea sees annual U.S.
Tillerson also said handling North Korea requires a "combined" message, and the president has "made it clear" he prefers a "diplomatic solution". "They have been doing this to our country for a long time, for many years".
The US leader ignored pleas to cool his rhetoric in a row that threatens to spill over into military action between two nuclear powers.
Guam is home to about 163,000 people and a U.S. military base.
Trump in April made similar comments about USA relations with North Korea, and claimed that he hoped "things work out well" with North Korea.
It would take around 14 minutes for a North Korean missile to arrive in the area, officials in Guam said on Friday, as they discussed their plan to use sirens to alert the public in the event of a launch toward the island.
A member of Trump's Republican Party, Calvo insisted during the two men's call that "I have never felt more safe or so confident with you at the helm", according to his office. North Korea's Central News Agency (KCNA) later reported that Pyongyang was "carefully examining" plans for a missile strike on the Andersen Air Force Base located on the US Pacific territory of Guam.
He later spoke to Chinese President Xi Jinping, who stressed the need for a peaceful resolution, Chinese TV said.
Soon after the United Nations resolution, North Korea accused the USA of "trying to drive the situation of the Korean peninsula to the brink of nuclear war", according to reports.
U.S. Sen. John McCain this week slammed Trump's vow of "fire and fury", saying "all it's going to do is bring us closer to a serious confrontation". But because of its key strategic role in the Pacific, Guam is also a target for North Korea.
Despite the war of words, the United States military says, for now, there has been no change in its readiness posture in South Korea or elsewhere in Asia. My proposal: convey to the Chinese that we understand they can't live with the fall of the regime and believe they cannot get Kim Jong Un to surrender his nuclear bombs; however, simultaneously convey that we can't live with the North Koreans having nuclear-armed ICBMs. At a regional conference in Manila, Chinese Foreign Minister Wang Yi said he warned his North Korean counterpart Ri Yong Ho, "Do not violate the U.N.'s decision or provoke the worldwide society's goodwill by conducting missile launching or nuclear tests".
During that war, Japan occupied Guam until US forces helped liberate it. Guam's called the tip of the spear for that reason.
Trump has pushed China to pressure North Korea to halt a nuclear weapons program that is nearing the capability of targeting the United States. Pyongyang has said it would take less than 18 minutes for a missile to cross the 3,400-kilometre (2,100-mile) distance to the U.S. territory.