With your FMP db open, Go to File>Import Records>Bento Data Source, and select what you want to import. It's a great way to get contacts into FMP.
You can use this template to move over the main contact and calendar data...
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Thanks for your quick feedback, Tim and TT. It is not about the transfer of the address book. I have inter-connected libraries refering to each other, ie a library "keywords" which is used by the library "notes" and "actions". When I tried the above way Import Records > Bento Data Source in fmp, nothing was imported. It seems to be a difference to import data or data structure.
Any chance you can post a subset of the Bento data? I'd be happy to take a look at it.