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Migrating from 7.1 to WildFly shouldn't be a big undertaking.
Biggest changes are related to EE 6 --> EE7 where your app might need to be updated a bit.
Beyond that, you will need to migrate configuration, if you had modified any.
Biggest changes are that web subsystem was replaced with undertow subsystem.
and messaging with messaging-activemq subsystem.
There are many guide about migration as well as some automated tools to help you.