A senior opposition figure said MPs had been hearing of people being 'shot at, beaten and raped' while they wait to be called forward at the airport.
The foreign secretary was reportedly 'unavailable' when officials in his department suggested he “urgently” call Afghan foreign minister Hanif Atmar.
His GoFundMe page has raised more than $6m since its launch on Tuesday.
Ian Blackford is among those calling for the foreign secretary to leave the post, saying he should be sacked for "putting lives at risk".
Paul Farthing says he has had no communication from the Foreign Office or Ministry of Defence since the Afghan government collapsed.
The five-year-old, whose family recently fled the Taliban, died after falling from a ninth floor window.
The foreign secretary is under fire for not interrupting his holiday to help translators flee Afghanistan.
Downing Street said the Government will be encouraging international partners to emulate 'one of the most generous asylum schemes in British history'.
James Heappey served in the country twice and said the UK could be proud of its work in the country.
Former interpreter who helped coalition forces fight Taliban in Afghanistan calls for help to bring his family to the UK.
The House of Commons was at full capacity for the first time since March 2020 as MPs debated the trouble in Afghanistan.
The Ministry of Defence said the first flight of British nationals and embassy staff arrived at the base on Sunday night.
Malala Yousafzai became the latest high-profile figure to push for all countries to open their borders to Afghan refugees.
Downing Street said ministers and senior officials would meet on Sunday afternoon to discuss the worsening situation.
Boris Johnson holds emergency Cobra meeting amid lightning offensive by insurgents and withdrawal of Allied armed forces.