Local employees and their families remain and the Swedish government's plan until now has been to fly them home on Tuesday.
In an email to Expressen, they appeal for help and write that their lives are in danger.
Foreign Minister Ann Linde (S) is now responding to the criticism that Sweden should have acted earlier to evacuate embassy staff and local employees in Kabul.
Linde says that a decision was made in consultation with the staff to be open as long as possible in order to be able to assist with consular matters.
- In that case, it is a delay from all alliances in the whole world.
I received updates today that there are virtually no local employees who have managed to get away, she says in Aktuellt.
19 people at the Swedish embassy have been evacuated by helicopter to the airport and then on to Doha.
They are expected to come to Sweden sometime tonight or tomorrow, according to Linde.
Has asked the Armed Forces for help
However, all non-military air traffic has been stopped by the Taliban and people with Afghan citizenship are not allowed to enter the part of the airport from which it is possible to fly.
Despite this, Linde believes that it will be possible to evacuate these people soon.
- I think we will succeed in evacuating local employees sooner or later.
We are trying other solutions, asking for help from the Armed Forces with military aircraft, including Hercules aircraft that have come close to Afghanistan.
UN Secretary-General António Guterres demanded in a statement earlier on Monday that local staff be released from Afghanistan without risk of reprisals.
Tomorrow, Linde will meet with European foreign ministers to discuss the situation.
- We will comment on this and jointly demand these things, says Linde