Here is an ODBC/ASP solution as outlined in this Adobe white paper:
http://helpx.adobe.com/dreamweaver/kb/creating-asp-pages-using-filemaker.html
The problem is, the first sentence of the article is: "While FileMaker is not one of the databases that was tested by the Dreamweaver engineers during development....." Typical Adobe halfway support of anything. I know people love the Adobe template system, but if you don't want to bang your head against the wall continually, you might consider a well supported and alternate third party solution for Filemaker support and templates:
http://www.seedcode.com/cp-app/splash/1?gclid=CL-1yY2DibgCFa9fQgodN1oAHg
Seedcode makes numerous other solutions for common development tasks as you can see from their page. Explore. This is all I could find, wait for other replies as I am not a guru on this stuff. Just getting the ball rolling as I saw no replies (and don't be surprised by that, your question was very limiting in products and technologies).