There is no CE certificate, but a CE marking as a self-declaration, which the manufacturer affixes on his own responsibility, thus also no Certificat d'ensemble CE.
However, the manufacturer must ensure that the appliance and all its components comply with the applicable EU directives and the standards referred to therein. Only in the case of equipment groups specified in the directives must the equipment be tested by a notified body, which then issues a corresponding certificate or approval (as called in USA or Canada).
Note: I myself was tester and inspector in 2 notified bodies.

The CE‐marking of an assembly represents a declaration by the manufacturer (or his authorized representative in the EU, in the case of products imported into Europe) that it complies with the essential requirements of all Directives relevant to assemblies.
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The CE mark is a manufacturers self-declaration that the products meet a standard. It is not an approval and is only required in the European market.
https://www.sourceiex.com/Catalogs/Chapter 4 CE Marking.pdf

Originally CE stood for Communauté Européenne (European Community) later for Conformité Européenne. With the CE mark a manufacturer expresses conformity with the European legislation, specifically with European directives and European regulations.
For of medical devices there are (or have been) the Medical Device Directive MDD, the Active Implantable Medical Device Directive AIMDD and the In-vitro Device Directive IVDD.
These directives are going to be replaced by the Medical Device Regulation MDR and the In-vitro Device Regulation IVDR. The manufacturers still declare conformity and affix the CE mark (sometimes also referred to as "CE label") themselves.
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For class I devices the manufacturer does not have to involve any external party such as a notified body. In this case they affixes the CE mark with no number.
For all the other classes it is mandatory to involve a notified body. The CE mark must bear the notified body's number.
There is no CE Certification.
https://www.johner-institute.com/articles/regulatory-affairs...

CE marking indicates that a product has been assessed by the manufacturer and deemed to meet EU safety, health and environmental protection requirements.
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As the product's manufacturer, you bear sole responsibility for declaring conformity with all requirements. You don't need a license to affix the CE marking to your product, however, before doing so, you must:
• ensure conformity with all relevant EU-wide requirements
• determine whether you can assess your product by yourself or if you have to involve a notified body
• put together a technical dossier documenting conformity: find out about technical documentation
• draft and sign an EU declaration of conformity
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You need to check if your product has to be tested by a notified body.
This step is not obligatory for all products.
If you need to involve a notified body, the CE marking must be accompanied by the identification number of the notified body.
https://europa.eu/youreurope/business/product-requirements/l...