Argupolis (Switzerland/Netherlands):
The doctoral school Argumentation Practices in Context is a joint program directed from the university of Lugano (Switzerland), University of Neuchâtel (Switzerland), University of Lausanne (Switzerland) and University of Amsterdam. The main focus of the doctoral school is argumentation in relation to human interaction within different contextual spheres.
See: Argumentation Practices in Context Doctoral Programme (Argupolis)
Bulgaria:
Sofia University
The Dept. of Rhetoric at Sofia University has PhD-programme.
For more see here and for a more detailed account of rhetoric studies in Bulgaria see here
Germany:
University of Tübingen
The University of Tübingen has a doctoral program in Rhetoric ("Allgemeine Rhetorik"). The program provides young researchers with opportunities for independent research combined with intensive expert counseling, customized training and different platforms for scientific exchange.
For more see here
Poland:
Jaellonian University, Cracow
Jaellonian University has a Postgraduate programme in Rhetoric.
For more see here
University of Silesia in Katowice
The University of Silesia aas both postgraduate Studies of the Art of Rhetoric and of Public Relations for Lawyers
For more see here
United Kingdom:
Loughborough University
The Discourse and Rhetoric Group (DARG) is situated under the Department for Social Sciences. The group works with the intersection of a number of interests in discourse, rhetoric, activity and conversation.
For more see here