تقدم DAAD منحًا دراسية للخريجين الأجانب من جميع التخصصات الذين لديهم خبرة مهنية لا تقل عن عامين
The DAAD offers scholarships for foreign graduates from all disciplines who have at least two years of professional experience. You will have the opportunity to pursue a postgraduate or Master’s degree at a state or state-recognised German university, and in exceptional cases, even a doctoral degree (PhD).
More information on the programme: 
https://www2.daad.de/.../en/21148-scholarship-database/...
https://www2.daad.de/.../en/21148-scholarship-database/...