Until recently, modern science had been dominated by a handful of Western countries. However, since the turn of the millennium, the global science landscape has undergone dramatic changes. The number of nations where a significant proportion of research done is of high international standard has now increased considerably. China particularly stands out and is today one of the leading science nations in the world. Overall, Chinese research collaborations with countries in the Western world exemplify the general trend towards increasing complexity in the global research landscape. It has gradually become obvious that differences between institutional settings need to be managed more systematically to promote cross-border research cooperation for shared benefits, from individual to institutional levels. An informed discussion of managing complex conditions necessitates an understanding of the relationship-level dynamics of research collaborations. In order to identify what aspects of international research collaborations are the most pertinent to systematically manage at individual and institutional levels, this paper investigates projects in a bilateral Swedish-Chinese funding program. The paper finds that the majority of collaborations funded had yielded positive impact in terms of publications, strengthened research capacity in research groups, and resource accumulation. The challenges found in the collaborations are related to needs such as improving transparency, ethical concerns, and imbalances in reciprocity.