New global Chief Executive Dara Khosrowshahi met TfL Commissioner Mike Brown for talks earlier this month, which both sides said were "constructive" as the $70-billion firm tries to fix its relationship with the regulator.
The appeal, which Uber announced immediately after Transport for London made its decision on September 22, allows the ride-sharing company to continue operating in the city during that process.
Last month, Uber lost its license to operate in London, but had 21 days to appeal - 21 days later, it's now officially registered that appeal, submitting the necessary documents to Westminster Magistrates' Court.
Uber has been in London since 2012. "As our new CEO [chief executive] has said, we are determined to make things right", an Uber spokesperson said. A petition launched by Uber to protest TfL's decision has gathered more than 800,000 signatures.
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Both are riven by militancy, with Daesh gaining a foothold in Nangarhar and Paktia seen as a Haqqani stronghold. They were pictured holding their two young sons, who had been born while they were in captivity.
Uber described those talks as "constructive", while TfL said the talks "centred on what needs to happen to ensure a thriving taxi and private hire market in London".
The new boss has apologised for "the mistakes we've made" and accepted that the company had "got things wrong". The first hearing on the issue is expected on December 11.
Mayor Sadiq Khan support TfL's decision and said: "All companies in London must play by the rules, if you do play by the rules, you're welcome in London".
Uber will challenge the licence decision "with the knowledge that we must also change", he said.