(127) In line with Union commitments under the World Trade Organization Agreement on Technical Barriers to Trade, it is adequate to facilitate the mutual recognition of conformity assessmentconformity assessmentmeans the process of demonstrating whether the requirements set out in Chapter III, Section 2 relating to a high-risk AI systemAI systemmeans a machine-based system that is designed to operate with varying levels of autonomy and that may exhibit adaptiveness after deployment, and that, for explicit or implicit objectives, infers, from the input it receives, how to generate outputs such as predictions, content, recommendations, or decisions that can influence physical or virtual environmentsArticle 3(1) have been fulfilledArticle 3(20) results produced by competent conformity assessmentconformity assessmentmeans the process of demonstrating whether the requirements set out in Chapter III, Section 2 relating to a high-risk AI systemAI systemmeans a machine-based system that is designed to operate with varying levels of autonomy and that may exhibit adaptiveness after deployment, and that, for explicit or implicit objectives, infers, from the input it receives, how to generate outputs such as predictions, content, recommendations, or decisions that can influence physical or virtual environmentsArticle 3(1) have been fulfilledArticle 3(20) bodies, independent of the territory in which they are established, provided that those conformity assessmentconformity assessmentmeans the process of demonstrating whether the requirements set out in Chapter III, Section 2 relating to a high-risk AI systemAI systemmeans a machine-based system that is designed to operate with varying levels of autonomy and that may exhibit adaptiveness after deployment, and that, for explicit or implicit objectives, infers, from the input it receives, how to generate outputs such as predictions, content, recommendations, or decisions that can influence physical or virtual environmentsArticle 3(1) have been fulfilledArticle 3(20) bodies established under the law of a third country meet the applicable requirements of this Regulation and the Union has concluded an agreement to that extent. In this context, the Commission should actively explore possible international instruments for that purpose and in particular pursue the conclusion of mutual recognition agreements with third countries.