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American leader visits abroad have historically been an opportunity to display the strength of the American nation on the world stage. Donald Trump's multi-day trip through Asian nations, by contrast, has been a demonstration of the clout of the president – but also, at points, of that influence's limitations.

Trump's destinations in Malaysia, Japan and Korea over the span of the opening phase were an demonstration in satisfying a sometimes volatile US leader. It was an recognition that the president, with the stroke of a pen, could introduce tariffs and further steps that have the capacity to harm the markets of trade-reliant nations.

His sit-down with Beijing's head Xi Jinping on the last day, though, was a distinct situation.

It was a session of peers on the global stage, where the stakes for both nations – for their financial health, for their international prestige, for the welfare of their citizens – were immense.

With China, the US leader may wave his power, but those steps entail repercussions. They carry a cost.

• The US president describes 'impressive' encounter with Xi but no trade deal reached
• The Chinese president and the US leader establish short-term ceasefire as China plays longer game

For the initial phase, Trump's recent entry into world politics was uneventful.

Each visit was characterized by a blend of standard economic talks – agreements made under the threat of the president's "equivalent" taxes – and individual concessions that at points bordered on the deferential.

In Malaysia, Trump secured rights to critical minerals and made progress toward completing trade arrangements with regional partners. He also presided over a pact that should reduce border tensions between Thailand and Cambodia – the type of "peace deal" the US leader loves to highlight.

In the Japanese leg, the president's official aircraft flew past a Tokyo Tower illuminated American colors – with a summit in Trumpian gold.

Newly elected Head Takaichi outlined $550bn in Japanese investments in the US and offered the US leader a offering of two hundred fifty flowering trees for the United States' 250th anniversary, and a golf club and carrier that came from former Prime Minister Abe, the killed past head who connected with the president in his first term.

She also became the most recent foreign leader to propose the president for his highly-coveted Nobel Peace Prize.

Not to be outdone, Korea received the president with artillery discharging a honor salute and a military band that performed the presidential anthem and the classic tune – the Village People anthem that has turned into a presidential event standard.

President Lee Jae Myung held an "honour ceremony" for the US leader during which he presented the American leader his country's highest medal and a replica of an traditional ruler's coronet.

Noon repast with Lee featured a "Peacemaker's Dessert" of gilded baked goods. Later that day, the Koreans offered the president vineyard wine at an intimate dinner in Trump's recognition with half-dozen world leaders participating in the regional summit summit.

In the America, Trump may be the focus of "Anti-Authority" rallies by Americans who oppose his boundary-testing extensions of executive authority, but during his regional swing he was treated like monarchy.

And like the rulers of ancient times, the president arrived in South Korea demanding payment – in the shape of $200 billion in monetary contributions, $20 billion a year, from Korea to the US, to be invested at the discretion of Trump's leadership. Approval on the conditions of those transfers contributed to that the tariff rate on host nation goods to the United States would drop from 25% to 15%.

The central moment of the president's Asia trip occurred in its concluding phase, however, as he met with Xi.

At that location, the influence relationship between leaders of the world's two largest economies was markedly distinct than the meetings the president had with his international peers in previous days.

Not present were typical ceremony and the pageantry. Lacking military bands, no ceremonial troops, no thoughtfully prepared menus marking mutual national affection. By contrast, the pair of counterparts and their top aides positioned themselves across a large pale negotiating table in a unremarkable military building just off the runway of the southern port's international airport.

It was likely a indication of the high stakes that when the president made contact with Xi in the southern port, he seemed