This paper takes the position that the completion of the Internal Market Programme of the European Community will require free movement of persons, goods, capital, and services, which, in turn, will require a service infrastructure that enables fast and reliable flows between the Member States. The paper begins by explaining the rationale and overall objectives of the Transeuropean Networks at the Community level with emphasis on the university sector and its potential partners, the added value of the linking effect between the training resources inside the Community in terms of networks, and networked training activities as a valuable means of technology and knowledge transfer across the Community. It is noted that the skills, versatility, and performance of the present and future workforce will be key factors in making the internal market work fully as from January 1993, and three current joint trans-European partnerships in the field of initial and advanced continuing training--COMETT, LINGUA, and ERASMUS--are discussed. The main model that has been developed is analyzed, showing that its main nucleus remains the university structures with other universities or industries as potential variables. The paper concludes with discussions of three networking formats and their role in the development of European Community programs: (1) networks among partners used to complete a training project; (2) information exchange networks; and (3) telematic networks for open distance learning. (Contains 8 references.) (ALF)