Mr Justice Vos, who gave the ruling at a hearing in London, heard that E-Clear consented to the move.
The action against E-Clear was brought by PricewaterhouseCoopers (PwC), which was appointed administrator of Edinburgh-based Globespan on 16 December.
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Hide AdAn estimated 3,400 holidaymakers were left stranded in Spain, Portugal, Cyprus and Egypt when Globespan went into administration.
The case reached the High Court last week but after a brief hearing was adjourned until today.
The latest proceedings were set for more than a day, but ended after less than an hour.
E-Clear was not represented by counsel, but its "consent" to the administration order was notified to the court by solicitors.
E-Clear is said to owe 35 million to the collapsed travel firm.