The goal of this document is to openly contribute with our comments to the Open Letter "Establishing a national research software award" published in the Open Research Europe(ORE), see https://open-research-europe.ec.europa.eu/articles/3-185/v1. We hope that they can contribute to enrich the discussion on the involved subjects. Moreover, we think that these suggestions could be also useful for the authors to react to the Referees’ comments when they discuss and ask for more precision regarding both the concept of research software presented in the Open Letter, and the proposed evaluation criteria and steps. These comments are now available at the ORE platform, see https://open-research-europe.ec.europa.eu/articles/3-185/v1?commentId=3859