The president-elect broke with decades of precedent last week to accept a congratulatory phone call from Tsai, angering Beijing which regards the island as a rogue province awaiting unification.
Taiwan's Liberty Times reported that President Tsai Ing-wen may seek to meet members of Trump's team while in New York on her way to Central America, though her office would not confirm the plan to AFP.
Taiwan has diplomatic relations with 22 states and the island's leaders make regular visits to its small group of allies in Central America and the Caribbean, often stopping in the US for meetings with sympathetic lawmakers.
China's foreign ministry called on Washington to block any stopover in the United States.
Tsai's "true intention is self-evident", it told AFP on today. "We hope America abides by the principle of the One China policy and the three US-PRC Joint Communiques and does not allow her transit."
Countries that have formal diplomatic ties with Beijing cannot enjoy such links with Taipei and vice versa. Both Beijing and Taipei in principle consider themselves the only legitimate power in charge of both China and Taiwan.
Trump's surprise call with Tsai and subsequent Twitter barrage criticising Chinese military expansions and accusing it of manipulating its exchange rate seemed to have caught Beijing off-guard.
China's foreign ministry repeatedly deflected or downplayed reporters' questions Monday. But by Tuesday, state media were trotting out attacks on Trump as a "diplomatic rookie".
Today they emphasised the need for calm, with experts in the often shrill Global Times urging China to "watch and wait" until Trump takes office and not to "play his games".
Reports suggest the call was long-planned by both sides, but whether Trump wants a wholesale change in US policy on Taiwan is still unclear.
Although the United States is Taiwan's main ally and arms supplier, it has not had official diplomatic relations with Taiwan since 1979, when it switched recognition from Taipei to Beijing.
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