Cruz met Tsai in Houston to discuss ties and furthering economic cooperation between "our two nations", infuriating Beijing which warned against "undermining" China-US relations by such actions.
White House brushed off any role for itself for the meeting between the Taiwanese President and Senator Cruz, who had lost to Trump in the Republican primary elections.
The US policy with regard to Taiwan has not changed, he said.
"The President and this administration have pursued that one China policy in the same way that previous administrations have because we believe that it best serves the national security interests of the United States. We also happen to believe it serves well the interests of our friends in Taiwan.
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In addition to Cruz, Republican Congressman from Texas Joe Barton also hosted Tsai Ing-wen in Houston on Saturday.
Congressman Barton introduced President Tsai at the MD Anderson Cancer Center and the Houston Museum of Fine Arts.
"Last fall, President Tsai graciously invited me to her home. I was grateful to return the favour in Texas. A continued, open dialogue between Taiwan and the United States will help advance both nations," Barton said.
China yesterday reaffirmed its opposition to any contacts between US officials and Taiwan's government.
China considers Taiwan to be a breakaway province to be brought back within its fold, by force if necessary. China is opposed to any official contact between foreign governments with the leaders of the self-governing island.
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