Варианти: Обжалване пред една единствена инстанция/на едно място или единствено обжалване.

Тук е описано:
The “one-stop” procedure, which came into force on 2 October 2000, was designed to ensure that applicants declared all additional grounds they had for wishing to remain in the United Kingdom at an early stage in the process. The aim was to prevent a person from prolonging his stay here by making one application, taking it through the entire appeals process and then, on the point of removal, making another application. The Nationality, Immigration & Asylum Act 2002 simplifies the one-stop process to the extent that there is now no such thing as an immigration appeal, an asylum appeal or a human rights appeal. There is just an appeal and a variety of grounds may be put forward.
The 2002 Act widens the circumstances where a certificate may be issued, preventing a further right of appeal following a late claim and allowing removal to proceed.

http://www.ukba.homeoffice.gov.uk/sitecontent/documents/poli...

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Note added at 1 hr (2013-06-03 15:47:12 GMT)
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Може и еднократно обжалване.

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Note added at 1 hr (2013-06-03 15:51:56 GMT)
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A ‘one-stop’ notice allows an applicant to raise further grounds for the grant of leave to remain which are outside the scope of their original application. Its purpose is to ensure that an applicant will have all appealable decisions considered in ОNE APPEAL HEARING.

http://www.kadmos.org.uk/single-news/article/no-duty-to-serv...