Prestigious fellowships funded by third parties are available. These include especially Humboldt Research Fellowships:
The Alexander von Humboldt Foundation enables highly qualified, early-stage researchers from abroad, who hold doctorates, to carry out research projects of their own choice (6-24 months). For more details click here and, if interested, contact Thomas Reiprich.
And also the Marie Curie Actions from the European Union:
For more details click here and, if interested, contact Thomas Reiprich.