RYME+ will work to promote the internationalisation of SMEs by helping to solve a major disadvantage of south-west Europe: the limitations of SMEs in internationalisation processes owing to cultural and financial barriers and a lack of preparation. The methodology used will be the opening of a call after which the project will carry out a diagnosis of the internationalisation capacity of SMEs in Portuguese, Spanish, and French regions. Approximately half of them will be chosen for their business preparation and their qualification by means of innovative tools. Finally the 50 best positioned SMEs in the group will be selected to take part in five international missions in the United States, Brazil, Uruguay, and Israel.