I had a similar problem with my Safari 25. I used Gorilla Glue and a brad nailer to hold it until the glue set. The tiny brad holes were largely invisible, but we filled them with a furniture touch-up crayon anyway. My wall was bordered with real oak. If yours is just vinyl covered trim, the vinyl may pull away from the base unless you use some kind or mechanical attachment.
"You cannot reason someone out of a position they have not been reasoned into"
Al, K5TAN and Missy, N4RGO WBCCI 1322
2002 Classic 30 Slideout -S/OS #004
2013 Dodge 2500 Laramie 4x4 Megacab Cummins