Vetenskapsrådet (the Swedish Research Council) international post doc - criteria
It appears this information is made available on the webpage once each call for applications has been issued.

On this webpage here you can find this year's call for applications. Or you can visit vr.se/inenglish and follow the links to Research Funding > Apply for Grants > Call for proposals > Closed call for proposals, all past funding rounds are listed.

The last round of applications closed on 2 September, so you'll have to wait until next year. It looks like you need your PhD before the closing date. I can't see a specific mention of citizenship as a requirement (you can always email the research council).