Requirements for EU citizen & family coming from non EU country

Hi all, my wife (EU citizen) and I (non EU citizen) have both gotten job offers in Slovakia and everyone involved is trying to figure out whether we will need to submit criminal record checks when we register with the foreign police since we have been living in Asia for the last five years.

From what I can tell on the official websites, EU citizens do not need to submit criminal record checks, nor do family members. However, my potential/future employer thinks we might have to because we are coming from outside the EU, and I've seen a few stories on FB that suggest they might be right.

Any insights from folks who've been in similar situations? Or any advice at all would be much appreciated. Thanks in advance.

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