The main rule
A data subject has the right not to be subject to a decision based solely on automated processing, including profiling, that produces legal effects or similarly significantly affects them [1]. The recitals of the GDPR give e-recruiting without human intervention as an example [2].
The exceptions
The prohibition does not apply if the decision is necessary for entering into or performing a contract, is authorised by law with suitable safeguards, or is based on explicit consent [3]. For a contract or consent you must provide at least human intervention, the right to express a point of view and the right to contest the decision [4]. Such decisions may not be based on special categories of personal data, except with explicit consent or for reasons of substantial public interest, with suitable measures [5].
The Dutch implementing act
The UAVG exempts automated decisions that are not based on profiling and are necessary to comply with a legal obligation or for a task in the public interest [6]. An organisation that is not an administrative authority has in any case taken suitable measures if it safeguards human intervention, the right to express a point of view and the right to contest the decision [7]. For the selection of applicants by a private employer, that exception will rarely fit.
What you do in practice
Have an employee who genuinely assesses the outcome and can deviate take every rejection. State in your information to applicants whether and how automated decision-making takes place [8].