Home > How To > Exteriors > Q&A: Gluing Wood Trim to Drywall Exteriors Q&A: Gluing Wood Trim to Drywall Three experts answer common questions about the sticky stuff Login or Register to download the PDF version of this article. (270.69 kB) A. A heavy-duty construction adhesive will work fine in this application. However, I would still recommend the use of mechanical fasteners in the drywall for creep support.— M.R. Login or Register to read the full article.