@Named
@ViewScoped
public class MyManagedBean {

@Inject
private ExecutionService executionService;

public void executeAsyncTask(Suite suite) {
    try {
        Future<Boolean> result = executionService.executeStuff(suite);
        if (result.isDone()) {
            // send a redirect if he is in the same page of the button that calls this method. It doesn't work, it's result is always false because execution is not finished and method moves on with his life
        }
}

@Singleton
@ConcurrencyManagement(ConcurrencyManagementType.BEAN)
public class ExecutionService extends BaseBean implements Serializable {
//
    @Inject private ExecutionDAO execDao;
//
    @Asynchronous
    public Future<Boolean> executeStuff(Suite suite) throws BusinessException {

        Boolean areStiffExecuted = false;

        Process process;

        try {
            process = Runtime.getRuntime().exec(new String[]{ });
            // and other crazy stuff that take some time.
        } catch (Exception e) {
            // log exception and throw it to managed bean
        } finally {
            // do some stuff like destroying process
            return new AsyncResult<>(true);
        }
    }
}