Hi Laura,
An institution of Sweden is not eligible to be a prime applicant.
However, the funding opportunity should specifically address "foreign components" (such as subrecipients). For example, it might say "Foreign components, as defined in the NIH Grants Policy Statement, are not allowed." -- In this example, your institution could not participate in the opportunity.
Janet
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Janet Simons
Director, Research Policy
University of Maryland Baltimore
Baltimore, MD