Bepster, thanks for the information you provide.
All the projects I am planning to show are already in production or have been promoted (design awards etc.).
Furthermore, I intend to show projects that I was personally involved and material that I created. Besides, all the material has been recreated, so no images, texts will be the same.
My studio is located in a different country than my last consultancy but, hey, we are living and working in a global economy 
, but yes, I do not think I am direct competition to them (although both based in Europe).
I will contact them, but first I wanted to hear the community’s opinion or “common business practices”. In terms of law, as far as I know, the creator, even after selling her/his designs, always possess the project’s intellectual property. This is a piece of information I received from different lawyers.