In a research setting (TRIDENT-2), Dutch pregnant women undergoing prenatal screening for trisomies 21, 18 and 13 with the Non-Invasive Prenatal Test (NIPT), are offered the choice to also receive information about incidental findings. In a recent report, the Health Council of the Netherlands has recommended to retain this option, but to only report those incidental findings that very probably will lead to serious health outcomes for the child. A working group has been appointed to draw up a guideline for this. In this article we argue that actively searching for desired 'incidental findings' in fact amounts to broadening the scope of the screening and that a justification of this choice is still lacking. A core issue is whether the benefits of such broader screening outweigh the drawback of inevitably also generating findings that do not fit in with the aim of the screening: providing meaningful reproductive choices.