The Taiwanese Defense Ministry has taken "efficient responsive measures" to ensure the island's security, it said in a statement. China's military provocation comes as Taipei loses yet another diplomatic ally.
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Taiwan's armed forces on Friday scrambled fighter jets in response to a Chinese military drill involving H-9 bombers.
Two Chinese H-9 bombers flew over the Bashi Channel south of Taiwan and then through the Miyako Strait, bringing them near northeastern Taiwan.
"We are fully monitoring the situation and taking efficient responsive measures to ensure defense security," said Taiwan's Defense Ministry.
The ministry said the Chinese aircraft appeared to be engaged in a long-range training exercise, adding that people in Taiwan should not be alarmed by the operation.
Beijing fears Tsai may push for an independence referendum, although she has said she wants to uphold the status quo.
China's deployment of two bombers to circle Taiwan on Friday comes as Taipei lost a diplomatic ally this week. Burkina Faso announced on Thursday that it had severed ties with Taiwan, with analysts suggesting it had caved under Chinese pressure.
Tsai said on Thursday that Taiwan would not bow to Beijing's "crude behavior to undermine our sovereignty."
'Unification of the motherland'
China has increasingly sought to isolate Taiwan internationally, as it sees the island nation as a breakaway province.
Taiwan now has formal diplomatic ties with only 18 countries, down from 22 in 2016.
"Maintaining national sovereignty, territorial integrity and complete unification of the motherland is the common aspiration of all Chinese," Xi said.
China & Taiwan's 70 year cold war
In the first summit between the two countries in six decades, China and Taiwan's top leaders held talks in Singapore on Saturday. Taiwan broke away from China following the 1945-9 Chinese civil war.
Image: AFP/Getty Images/R. Beck
Animosity has lasted nearly seven decades
China and Taiwan split in 1949 following the rise of Communist revolutionary leader Mao Zedong. China's nationalist President Chiang Kai-shek fled to Taiwan - which was then a backwater island.
In 1949, Chiang Kai-shek established a "provisional" Republic of China capital in Taipei. Post-war economic conditions caused severe inflation which left the island's tiny population impoverished for many years.
Image: Getty Images/T. Lions
Taiwan prospers without the motherland
Over the past six decades, Taiwan has experienced rapid industrialization and economic growth, becoming known as one of the "Four Asian Tigers."
Image: AP
Rise of China
In the past 30 years, China has brushed off Communism in all but name, rising to become the world's second largest economy by nominal GDP. China insists Taiwan is part of its territory. But Taiwan maintains it is a sovereign state and a democracy.
Image: Getty Images
US arms sales
In 2011, Taiwan upgraded its F-16 fighter fleet at a cost of $.5.3 billion (4.9 billion euros). China denounced the sale of arms from the US, warning at the time that it would damage Sino-American military and security ties.
Image: AP
South China Sea diputes
Taiwan and China are currently locked in territorial disputes over the South China Sea. China's claims over most of area, along with its massive land reclamation projects in the Spratly islands, have annoyed much of the rest of Asia.
Image: Reuters/U.S. Navy
'We are one family'
Chinese President Xi Jinping hailed the relations between Beijing and Taipei, saying that "we are brothers...still connected by our flesh even if our bones are broken." In response, Ma called on China to respect Taiwan's democracy.
Image: Getty Images/AFP/R. Rahman
Protesters not convinced by China's overtures
In the Taiwanese capital, Taipei, about 500 people took to the streets to protest against the meeting between the two leaders. Many are skeptical as to whether ties with China will allow the territory's democracy to be maintained.