NPE when @Inject @Stateless service in a JAX-RS class

I've got that JAX-RS webservice:

    @Path("/my")
    public class MyWS {

        @Inject
        private MyService myService;

        @POST
        @Path("/save")
        @Consumes("application/json")
        public void save(SaveParam saveParam) {
            myService.save(saveParam);
        }
    }

and that @Stateless service:

    @Stateless
    public class MyService {

        @PersistenceContext
        protected EntityManager entityManager;

        @TransactionAttribute
        public void save(SaveParam saveParam) {
            entityManager.persist(saveParam);
        }
    }

Using JBoss EAP 6.2, myService is always null (not injected) when arriving in the save method.

I've tried to add @ApplicationScoped to MyWS class, but the same behavior is happening (NullPointerException). The only solution is to declare MyWS also as @Stateless, but that should be mandatory.

All my classes are in the same war project and I have a WEB-INF/beans.xml using CDI 1.0 spec. I also have a class extending javax.ws.rs.core.Application and declaring the @ApplicationPath.

(Original post on Stackoverflow )