without telling us more about your application it is hard to help you.
maybe if you post deployment log and web.xml confiuration it will be better
Also, does the application deploy to tomcat 8 with no problems?
Tomcat 8 is jee7 (level at least) like wildly.
Or try deploying to jboss 7 instead of wildly.....
Yes, it runs smoothly with Tomcat 8 and java7 without any problems. I just tested it with the latest tomcat
What exact URL are you using to access the application and please post the web.xml contents. Which exact version of WildFly is this?