Your PhD project qualifies as a cotutelle de thèse if you are researching and writing your PhD thesis at a Swiss university and a university abroad under the joint supervision of two experts; your doctoral degree will subsequently be awarded by both partner institutions.
To cover travel and living expenses incurred in connection with a cotutelle de thèse, the State Secretariat for Education, Research and Innovation (SERI) grants an allowance of up to CHF 10,000.-
You must submit your application to swissuniversities via the responsible office at the Swiss university by 31 March 2017 at the latest.
Please note that the universities may also set their own deadlines – be sure you hand in all necessary documents on time.
Detailed information and eligibility criteria on the application process are available here.