The prime minister is scheduled to meet with leaders and top officials of more than 30 countries, as well as the heads of international organizations.
Blinken said that US-China relations are currently in a difficult period, and it is in the common interests of both sides to bring bilateral relations back to a stable track.
China has been carrying out drills near Taiwan since early last month, after US House Speaker Nancy Pelosi visited Taipei.
For decades, "strategic ambiguity" has kept the peace across the Taiwan Strait.
A Foreign Ministry spokesperson also urged the US government and relevant parties to abide by the one-China principle.
US talks over sanctions began after Russia invaded Ukraine in February, but took on fresh urgency after the Chinese reaction to Pelosi's visit.
The Manila Economic and Cultural office (Meco) chairperson Silvestre Bello III debunked reports otherwise, after speaking with Taiwan’s representative.
China, which has submitted its own request, will block any bid by Taiwan, which it views as its own, to join too.
A Foreign Ministry spokesman also urged the US to abide by the one-China principle and stipulations of the three China-US joint communiques.c
Beijing staged unprecedented military drills in August to protest visits to Taipei by US House Speaker Nancy Pelosi and other politicians.