In a briefing for reporters before the call, U.S. administration officials said Biden would continue some of the Trump administration's confrontational policies toward Beijing, which included contesting Chinese territorial claims in Asia, defending Taiwan's independence and cracking down on China's cybertheft and hacking.
In his letter, the president said Trump's declaration of a national emergency had been "unwarranted" and that he had directed that "no more American taxpayer dollars be diverted to construct a border wall".
His administration suspended new entries into the program when he took office on January 20, but did not immediately put forward a plan to bring the people enrolled in it into the United States.
Homeland Security Secretary Alejandro Mayorkas said this is an "initial phase" of restarting the asylum process, but that "changes (to immigration policy) will take time".
Mr Trump's administration officials said the border wall slowed down smugglers and people crossing the border illegally so they could be more easily apprehended.
Mexican President Andres Manuel Lopez Obrador echoed that message on Friday, saying migrants should not think "the gates of the northern border are open" or believe human smugglers who say as much.
One US official said Biden "found merit" in Trump's approach of intense strategic competition towards China - but that the Trump's strategy and chaotic implementation of policy had played into China's hands.
It said there are approximately 25,000 active cases still.
Progressive critics worry that moving from a communication process reliant on physical addresses to an internet and phone-based system might not solve the problem of vulnerable migrants being denied a chance in court.
Chinese officials have expressed some optimism bilateral relations will improve under Biden and have urged Washington to meet Beijing halfway.
U.S. authorities emphasized that they are working closely with the Mexican government and with worldwide organizations and NGOs at the border. The effort will expand to additional ports over time. Biden, in the interview taped Friday, said he has said to Xi all along, that we need not have a conflict.
Asylum seekers will be tested for COVID-19 before entering the US.
Biden's administration has reaffirmed support for Taiwan and for Japan's territorial claim on the Senkaku Islands, which China also claims and calls the Diaoyu Islands. At one point, she even admitted that there are certain parts of the border where Biden's policies are failing to catch migrants.
At a press conference on Wednesday, White House Press Secretary Jen Psaki appeared to confirm the new administration would keep a Trump-era policy that allowed border officials to summarily expel undocumented immigrants amid the coronavirus pandemic.