Best practice to get EntityManagerFactory
@Stateless
public class FooService {

    @PersistenceContext
    private EntityManager em;

    public Foo find(Long id) {
        return em.find(Foo.class, id);
    }

    // ...
}

@WebListener
public class EMF implements ServletContextListener {

    private static EntityManagerFactory emf;

    @Override
    public void contextInitialized(ServletContextEvent event) {
        emf = Persistence.createEntityManagerFactory("unitname");
    }

    @Override
    public void contextDestroyed(ServletContextEvent event) {
        emf.close();
    }

    public static EntityManager createEntityManager() {
        if (emf == null) {
            throw new IllegalStateException("Context is not initialized yet.");
        }

        return emf.createEntityManager();
    }

}

EntityManager em = EMF.createEntityManager();
// ...