I've built a lot of things with Laravel and WordPress. WordPress mainly for blogs, shops and things like that (basically "websites") and Laravel for different applications (mostly applications to organize and manage stuff). Some time ago a client wanted his Laravel application within his WordPress site; so far he just had a link to his application, but no "real" integration - where "real" just means that both components should have the same design. Combining software can sometimes be tricky, but in this case it was surprisingly easy.